20261022-235316-因式分解练习口算题1000道（可打印含答案）

PAGE1/SECTIONPAGES1因式分解口算题1000道人教版·八年级数学班级：________姓名：________得分：________建议用时：分章练习，每章约30分钟满分：1000分使用说明：全册共10章，每章100题，题号连续编排（1—1000），章末不重置。每题1分，满分1000分；建议每章限时30分钟，做完一章再核对答案。请在题目下方空白处写出分解结果，答案集中附于文末。分解结果须彻底，能分解到不能再分为止。一、提公因式法（单项式公因式）：第1—100题，每题1分，共100分。公因式取各项系数的最大公约数与相同字母的最低次幂之积。分解后可用乘法检验。1.6a+9=2.8x−12=3.15m+25n=4.125.96.207.148.249.510.711.1612.1813.3014.615.1016.417.3518.2219.1220.921.822.2523.1624.2125.626.4027.1328.1829.530.3231.232.4533.734.1135.2836.937.638.1539.3640.1741.2442.1043.844.1945.2746.1247.3348.649.5050.1451.452.2353.1654.955.756.6057.1358.859.560.3161.1862.1263.364.4265.1166.2567.668.2969.1670.2071.772.3773.974.475.4576.1777.678.2379.1480.881.2782.1983.584.3285.1386.687.4188.1089.2190.391.4392.1293.1694.995.4796.697.2598.5399.8100.15二、提公因式法（多项式公因式）：第101—200题，每题1分，共100分。公因式可以是多项式，如a+b、x−y、m−2；注意符号：b−a=−(a−b)，x−3=−(3−x)。101.a(x+y)+b(x+y)=102.3a(m−n)−2b(m−n)=103.x(a−b)+y(b−a)=104.2m(x−3)−n(3−x)=105.5a(x+y106.p(a+b)+q(a+b)−r(a+b)=107.6x(m+n)−9y(m+n)=108.a(x−2y)−b(2y−x)=109.4m(x+1)+8n(x+1)=110.(a+b111.3x(a−1)−6y(1−a)=112.2a(m−2n)+4b(2n−m)=113.7p(x−y114.x(a+2b)+y(a+2b)+z(a+2b)=115.8m(n−1)−4n(1−n)=116.5a(x+y)−15b(x+y)+10c(x+y)=117.ab(x−1)+ac(1−x)=118.3119.2x(y−3)+4y(3−y)=120.(m+n121.9a(x−y)−6b(y−x)=122.4123.x124.6ab(m+n125.5(x−2126.2a(x+y127.m(a−b128.3x(2a−b)−9y(b−2a)=129.8130.(x+y)(a+b)−(x+y)(a−b)=131.7m(n+2)−14n(n+2)=132.a133.10p(a+b)−5q(a+b)+15r(a+b)=134.2135.ab(a−b)+bc(b−a)=136.4m(n−2137.3a(x+y)−3b(x+y)−3c(x+y)=138.x(a+3)−2(3+a)=139.6140.(a−b141.5x(y−2)−10142.2143.12p(x−1144.m(x−y)−n(y−x)+p(x−y)=145.3146.8a(b−1)+4147.(m−n148.7x(a−2b)−21y(2b−a)=149.4150.a(x−y151.9m(n+3)−3152.2153.5ab(x−2y)−10154.(a+b)(x−1)−(a+b)(x+1)=155.6156.x157.4m(a+b158.3x(2m−n)−6y(n−2m)=159.a160.2(x−1161.5m(n−4)−15n(4−n)=162.8163.x(a−b)−y(a−b)−z(b−a)=164.6165.3a(x+2y166.(x−2y)(a+b)+(2y−x)(a−b)=167.10p(q−1168.4169.a170.2m(n−1171.7a(b−c)−14(b−c172.5173.(a+2b174.9175.4ab(x+y)−8176.x177.6m(n+1178.3a(x−y)−9b(x−y)+6c(y−x)=179.2180.(m−n181.8182.5183.3m(n−3)+9n(3−n)=184.4185.a(x+y186.6187.2ab(x−3)−4188.7p(q+1)−21189.(a−b190.3191.5m(n+2)−10192.4a(b−2)−8193.x194.9195.2x(y+3196.a197.6198.8m(n+1199.5a(x−2y)−10b(2y−x)+15c(x−2y)=200.(x−y三、平方差公式：第201—300题，每题1分，共100分。平方差公式：a2−b201.x202.4203.25−204.9205.16206.a207.x208.36−49209.1−4210.64211.x212.100−9213.a214.121215.m216.0.25217.4218.9219.x220.16221.49222.a223.144−25224.x225.81226.1.44227.x228.(a+b229.(m−n230.9−(x+y231.(2a+b232.(x+3233.4(m+n234.(a+2b235.25(x−1236.(3x+y237.a238.(2m+3n239.(x+y240.16(a−b241.x242.a243.3244.5245.2246.7247.4248.a249.x250.8251.12252.3253.5254.2255.6256.a257.9258.10259.x260.18261.x262.a263.16264.2265.27266.a267.x268.45269.a270.4271.32272.x273.3274.a275.75276.x4−6277.a278.(x+1279.(2m−n280.4−(a+b281.(x+y282.(3a−b283.9(x+y284.(a−2b285.36(m+n286.(2x+3287.(a+b+c288.x289.(5m+2n290.(a+b)2291.a292.16293.x294.49295.a296.121−4297.9298.x299.250300.3四、完全平方公式：第301—400题，每题1分，共100分。完全平方公式：a2+2ab+b301.x302.x303.a304.m305.4306.9307.16308.25309.x310.a311.36312.49313.x314.a315.4316.9317.16318.x319.64320.81321.a322.x323.4324.m325.9326.a2−2a+1−327.x328.a329.m330.x331.4332.9333.a334.16335.x336.a337.25338.m339.x340.9341.x342.4343.a344.16345.x346.49347.a348.9349.x350.25351.x352.a353.m354.x355.4356.x357.9358.a359.16360.x361.x362.a363.9364.16365.25366.x367.a368.4369.x370.a371.x2+2x+1与x372.m2−2mn+n2373.a2+4a+4与a374.9x2+6x+1与375.16a2−8ab+b376.x377.a378.m379.x380.4381.9382.a383.25384.x385.16386.x387.36388.a389.9390.4391.x392.a393.49394.m395.x396.a397.9398.x399.4400.x五、十字相乘法（一）：第401—500题，每题1分，共100分。x2+px+q型：找两数m、n，使m+n=p，mn=q，则401.x402.x403.x404.x405.x406.x407.x408.x409.x410.x411.x412.x413.x414.x415.x416.x417.x418.x419.x420.x421.x422.x423.x424.x425.x426.x427.x428.x429.x430.x431.x432.x433.x434.x435.x436.x437.x438.x439.x440.x441.x442.x443.x444.x445.x446.x447.x448.x449.x450.x451.x452.x453.x454.x455.x456.x457.x458.x459.x460.x461.x462.x463.x464.x465.x466.x467.x468.x469.x470.x471.x472.x473.x474.x475.x476.x477.x478.x479.x480.x481.x482.x483.x484.x485.x486.x487.x488.x489.x490.x491.x492.x493.x494.x495.x496.x497.x498.x499.x500.x六、十字相乘法（二）：第501—600题，每题1分，共100分。二次项系数不为1的ax2+bx+c型：把a拆成两因数、c501.2502.2503.3504.3505.2506.2507.3508.4509.4510.5511.6512.6513.8514.9515.10516.2517.2518.3519.3520.2521.2522.3523.4524.4525.5526.6527.6528.8529.9530.10531.2532.2533.3534.3535.2536.2537.3538.4539.4540.5541.6542.6543.8544.9545.10546.2547.2548.3549.3550.2551.2552.3553.4554.4555.5556.6557.6558.8559.9560.10561.2562.3563.2564.4565.6566.2567.3568.2569.4570.6571.2572.3573.2574.3575.5576.2577.3578.4579.6580.8581.2582.3583.4584.5585.6586.2587.3588.4589.5590.6591.2592.3593.4594.5595.6596.2597.3598.4599.5600.6七、先提公因式再分解：第601—700题，每题1分，共100分。分解顺序：一提（公因式）、二套（公式）、三十字相乘、四分组。先提公因式后，括号内往往还能继续分解。601.2602.3603.5604.4605.7606.2607.6608.9609.8610.3611.2612.3613.5614.4615.2616.18617.27618.50619.12620.20621.x622.a623.m624.2625.3626.x627.a628.2629.5630.x631.2632.3633.2634.4635.5636.6637.2638.3639.4640.5641.2642.3643.4644.2645.3646.6647.2648.4649.5650.2651.x652.a653.m654.2655.3656.x657.a658.2659.9660.4661.x662.a663.m664.2665.3666.4667.x668.8669.2670.5671.2672.3673.5674.2675.4676.x677.a678.m679.2680.3681.2682.3683.5684.2685.4686.x687.a688.m689.4690.9691.x692.a693.m694.4695.16696.x697.25698.a699.9700.4八、分组分解法：第701—800题，每题1分，共100分。四项式常用「二二分组」或「三一分组」：分组后各组有公因式，或一组为完全平方、另一组为平方差。701.ax+ay+bx+by=702.mx−my+nx−ny=703.2a+2b+ax+bx=704.3x+3y−mx−my=705.ab+ac+db+dc=706.x707.a708.m709.x710.a711.2712.3713.4714.5715.6716.x717.a718.m719.x720.a721.x722.a723.m724.x725.a726.4727.9728.x729.a730.4731.x732.a733.m734.x735.4736.x737.a738.m739.x740.a741.x742.a743.m744.x745.a746.x747.a748.m749.x750.a751.2752.3753.4754.5755.6756.2757.3758.4759.5760.6761.x762.a763.m764.x765.a766.x767.a768.m769.x770.a771.x772.a773.m774.x775.4776.x777.a778.m779.x780.a781.2782.3783.4784.5785.6786.x787.a788.m789.x790.a791.x2+2x+1−792.a793.m794.x795.a796.x797.a798.m799.x800.a九、综合提高：第801—900题，每题1分，共100分。综合运用提公因式、公式法、十字相乘与分组分解，注意分解要彻底，结果写成乘积形式。801.x802.a803.m804.16805.81806.x807.a808.m809.x810.a811.x812.a813.m814.x815.a816.x817.a818.m819.x820.a821.x822.a823.m824.x825.a826.x827.a828.m829.x830.a831.x832.a833.m834.x835.a836.x837.a838.m839.x840.a841.x842.a843.m844.x845.a846.x847.a848.m849.x850.a851.2852.3853.4854.5855.6856.x857.a858.m859.x860.a861.x862.a863.m864.x865.a866.x867.a868.m869.x870.a871.x872.a873.m874.x875.a876.9877.4878.16879.25880.36881.x882.a883.m884.x885.a886.x887.a888.m889.x890.a891.x892.a893.m894.x895.a896.x3+3897.a3−3898.x3+6899.a3−9900.x3+2十、挑战题：第901—1000题，每题1分，共100分。难度较高，含拆项添项、换元、因式定理等技巧，建议在掌握前九章后练习。901.x2+4x+3的因式分解（并用因式定理检验x=−1902.x903.x904.a905.a906.8907.27908.x909.64910.125911.x912.a913.m914.8915.27916.x4+x2917.a4+918.x4+4（添项：x919.a4+4920.m4+4921.x4−3x2922.a4−7923.x4+2924.a4−14925.x4+5926.(x2927.(a2928.(m2929.(x2930.(a2931.(x+1)(x+2)(x+3)(x+4)+1（配对换元）=932.(x+1)(x+3)(x+5)(x+7)+16（配对换元）=933.(a+1)(a+2)(a+4)(a+5)+4（配对换元）=934.(m−1)(m+1)(m+3)(m+5)+16（配对换元）=935.(x−2)(x−1)(x+1)(x+2)+1（配对换元）=936.x2+5x+6与x937.x2−1与x938.x2−9与x939.x2+3x+2与x940.x2−4与x941.x3−2942.a3+943.m3−4944.x3+2945.a3−3946.x3−5947.a3+4948.m3−6949.x3+7950.a3−8951.x2−2xy−3952.a2+5ab−6953.m2−7mn+12954.x2+xy−12955.a2−3ab−10956.2x2957.3a2958.4m2959.6x2960.5a2961.x4−6962.a4+2963.m4−8964.x4−16965.a4b966.x2−1与x967.x2−4与x968.x2+2x+1与x969.x2−9与x970.x2−2x+1与x971.x5−972.a5−a973.m5−16m974.x6−975.a6−16976.x2+2x+1与x977.x2−6x+9与x978.x2+4x+4与x979.x2−2x+1与x980.x2+6x+9与x981.x3+982.a3−983.m3+984.x3−2985.a3+3986.x2+7xy+12987.a2−5ab−14988.m2+2mn−15989.x2−9xy+20990.a2+ab−20991.x4−5992.a4−10993.m4−13994.x4+5995.a4−2996.x6−7x3997.a6+2a3998.m6−9m3999.x6+x31000.a6−6a3参考答案以下答案按题号顺序给出，分解结果均要求彻底。第一章提公因式法（单项式公因式）3(2a+3)4(2x−3)5(3m+5n)6a(2a−3)35ab(4a−3b)7xy(2x+3y)125ab(a+2b−3)7x(4ab(4ab−2a+b)9153xy(2x−3y+1)5m4a(711ab(2a−3b)63a45xy(5x−3y+1)87xy(3xy−2x+y)320139abc(2a−3b+1)5162x15mn(37a11x1432mn(3m−4n+5)512x1785x4199m611x3257x2238m3715138x5a31x943x14m115x329a810a7m3734x15173x23749195m1613x3a41m5x73436ab283m476x5a53x4m5第二章提公因式法（多项式公因式）(x+y)(a+b)(m−n)(3a−2b)(a−b)(x−y)(x−3)(2m+n)5(x+y(a+b)(p+q−r)3(m+n)(2x−3y)(x−2y)(a+b)4(x+1)(m+2n)(a+b)(a+b−c)3(a−1)(x+2y)2(m−2n)(a−2b)7(x−y(a+2b)(x+y+z)4(n−1)(2m+n)5(x+y)(a−3b+2c)a(x−1)(b−c)3m(a+b)(m−2n)2(y−3)(x−2y)(m+n)(m+n−3)3(x−y)(3a+2b)2p(a−b)(2p−1)x(a−1)(x−1)3ab(m+n5(x−2)(x−4)2(x+y(a−b3(2a−b)(x+3y)4a(m−3)(2a−1)2b(x+y)7(n+2)(m−2n)a(x−1)(a−x+1)5(a+b)(2p−q+3r)2x(y+1)(x−3y−3)b(a−b)(a−c)2m(n−23(x+y)(a−b−c)(a+3)(x−2)3mn(n−1)(2m−3)(a−b5x(y−2)(1+2x)2ab(m+n)(a−2b)4(x−1(x−y)(m+n+p)34a(b−1)(2−a)(m−n)(m−n+2)7(a−2b)(x+3y)4(x+1)(a−x−1(x−y3m(n+3)(3−m)25ab(x−2y)(1+2a)−2(a+b)3p(q−1)(2p−q+1)x(y−3)(x+y−3)4(a+b3(2m−n)(x+2y)ab(x+2)(a−b)2(x−1)(5(n−4)(m+3n)4a(b+1(a−b)(x−y+z)3m(n+2)(2m−3n+1)3(x+2y2b(x−2y)5p(q−14x(y+3)(x−3)a2m(n−17(b−c)(a−2b+2c)5(a+2b)(a+2b−1)3m(n−2)(3m−n+2)4ab(x+y)(1−2a+3b)x2m(n+13(x−y)(a−3b−2c)2p(q+2)(p−2q−4)2b(m−n4x(y−2)(2x+1)5a(b−c3(n−3)(m+3n)2x(y+1(x+y3m(n−1)(2m−n+1)2ab(x−3)(1+2a)7p(q+1)(1−3p)2y(a−b3(y−25m(n+2)(1−2m+34a(b−2)(1+2a)x(a+1)(x−a−1)3m(n−22x(y+3a(b−c)(a+1)3p(q−3)(2p−q+3)4m(n+15(x−2y)(a+2b+3c)2(x−y第三章平方差公式(x+3)(x−3)(2a+1)(2a−1)(5+y)(5−y)(3m+4n)(3m−4n)(4x+5y)(4x−5y)(((6+7m)(6−7m)(1+2xy)(1−2xy)(8a+9b)(8a−9b)(xy+1)(xy−1)(10+3mn)(10−3mn)(ab+2c)(ab−2c)(11x+12y)(11x−12y)((0.5a+b)(0.5a−b)(2x+0.3)(2x−0.3)(3ab+5c)(3ab−5c)((4(7x+8yz)(7x−8yz)(a+0.1b)(a−0.1b)(12+5x)(12−5x)(x(9(1.2m+0.7n)(1.2m−0.7n)(x+y+z)(x−y−z)(a+b+c)(a+b−c)(m−n+2)(m−n−2)(3+x+y)(3−x−y)(3a)(a+2b)，即3a(a+2b)8(x+1)(5m−n)(5n−m)(a+6b)(a−2b)(7x−3)(3x−7)8x(x+y)(a+b−c)(a−b+c)24mn4xy(7a−b)(a−7b)(x+(a+3(x+2)(x−2)5(a+2b)(a−2b)2(x+2y)(x−2y)7(m+3n)(m−3n)x(2x+3)(2x−3)ab(a+b)(a−b)xy(x+y)(2(2a+3b)(2a−3b)3(2x+3y)(2x−3y)3a(a+3)(a−3)5x(x+3)(x−3)2(6y(x+2y)(x−2y)axy(3x+2y)(3x−2y)10(ab+2c)(ab−2c)x2(3m+5n)(3m−5n)xb(4xy+1)(4xy−1)2ab(a+3b)(a−3b)3(3x+y)(3x−y)((xy+55(3mn+1)(3mn−1)((22(4a+b)(4a−b)(x+0.2y)(x−0.2y)3(mn+2p)(mn−2p)(a3(5x+y)(5x−y)((a+b−2)(a−b+2)(x+4)(x−2)(2m−n+1)(2m−n−1)(2+a+b)(2−a−b)(x+y+a+b)(x+y−a−b)8(a−b)(a+b)(5x+y)(x+5y)(a−2b+3c)(a−2b−3c)(11m+n)(m+11n)24x4c(a+b)(x+2y−3)(x−2y+3)4(4m−n)(m+3n)4ab(ab+1)(ab−1)(4a+9bc)(4a−9bc)(xy+0.5)(xy−0.5)(7((11+2xy)(11−2xy)(3a+0.4b)(3a−0.4b)(10(5a+b)(5a−b)3(xy+3z)(xy−3z)第四章完全平方公式(x+1(x−2(a+3(m−5(2x+1(3a−2(4m+3n(5x−2y(x+4y(a−7b(6x+1(7m−2n(((2(3xy−1(4ab+1(xy−1(8m−n(9x+ya+x−2a−m+3x−(a−1(x+y+1)(x+y−1)(a−2b+3)(a−2b−3)(m+3+n)(m+3−n)(x−1+y)(x−1−y)(2a+3b+1)(2a+3b−1)(3x−1+2y)(3x−1−2y)(a+5+b)(a+5−b)(4m−1+3n)(4m−1−3n)(x+2y+4z)(x+2y−4z)(a−4b+5c)(a−4b−5c)(5x+2y+3)(5x+2y−3)(m−6n+7)(m−6n−7)(x+1+2y)(x+1−2y)(3a+4b+c)(3a+4b−c)(x−3y+2z)(x−3y−2z)(2m+n+1)(2m+n−1)(a−b+c)(a−b−c)(4x−3y+5z)(4x−3y−5z)(x+6+3y)(x+6−3y)(7m−n+2p)(7m−n−2p)(a+b+2c)(a+b−2c)(3x−5y+4z)(3x−5y−4z)(x−2+3y)(x−2−3y)(5a+4b+6c)(5a+4b−6c)(x+1+y+z)(x+1−y−z)(a−1+b−c)(a−1−b+c)(m+2+n−p)(m+2−n+p)(x−3+y+2)(x−3−y−2)(2a+1+3b−c)(2a+1−3b+c)(x+4+y−3)(x+4−y+3)(3m−2+2n+p)(3m−2−2n−p)(a+3+b+5)(a+3−b−5)(4x−1+5y−z)(4x−1−5y+z)(x−1+2y−3z)(x−1−2y+3z)(((3(4(5(((2(x((x+1(m−n(a+2(3x+1(4a−b(x+y+2)(x+y−2)(a−3+2b)(a−3−2b)(m+4n+5)(m+4n−5)(x−5y+6z)(x−5y−6z)(2a+3+4b)(2a+3−4b)(3x−4y+1)(3x−4y−1)(a+1+3b)(a+1−3b)(5m−3n+2p)(5m−3n−2p)(x+3y+2z)(x+3y−2z)(4a−5b+3c)(4a−5b−3c)(x−1+4y)(x−1−4y)(6m+n+5p)(6m+n−5p)(a−7+2b)(a−7−2b)(3x+2y+5z)(3x+2y−5z)(2m−5n+6p)(2m−5n−6p)(x+1+5y)(x+1−5y)(a−2+3b)(a−2−3b)(7x+2y+4z)(7x+2y−4z)(m−8n+3p)(m−8n−3p)(x+5+2y)(x+5−2y)(a−b+6c)(a−b−6c)(3m+n+7p)(3m+n−7p)(x−4y+5z)(x−4y−5z)(2a+b+3c)(2a+b−3c)(x+y+4z)(x+y−4z)第五章十字相乘法（一）(x+1)(x+2)(x+2)(x+3)(x+3)(x+4)(x+3)(x+5)(x+4)(x+5)(x+3)(x+7)(x+5)(x+6)(x+5)(x+7)(x+6)(x+7)(x+5)(x+9)(x−1)(x−2)(x−2)(x−3)(x−3)(x−4)(x−3)(x−5)(x−4)(x−5)(x−4)(x−6)(x−5)(x−6)(x−5)(x−7)(x−5)(x−8)(x−6)(x−8)(x+2)(x−1)(x+3)(x−1)(x+4)(x−1)(x+5)(x−1)(x+6)(x−1)(x+7)(x−1)(x+8)(x−1)(x+9)(x−1)(x+10)(x−1)(x+11)(x−1)(x−2)(x+1)(x−3)(x+1)(x−4)(x+1)(x−5)(x+1)(x−6)(x+1)(x−7)(x+1)(x−8)(x+1)(x−9)(x+1)(x−10)(x+1)(x−11)(x+1)(x+4)(x−2)(x−4)(x+2)(x+2)(x+4)(x−2)(x−4)(x+5)(x−2)(x−5)(x+2)(x+2)(x+5)(x−2)(x−5)(x+6)(x−2)(x−6)(x+2)(x+7)(x−2)(x−7)(x+2)(x+2)(x+7)(x−2)(x−7)(x+2)(x+6)(x−2)(x−6)(x+4)(x−3)(x−4)(x+3)(x+8)(x−2)(x−8)(x+2)(x+5)(x−3)(x−5)(x+3)(x+1)(x+6)(x−1)(x−6)(x+8)(x−3)(x−8)(x+3)(x+1)(x+9)(x−1)(x−9)(x+2)(x+9)(x−2)(x−9)(x+3)(x+9)(x−3)(x−9)(x+4)(x+9)(x−4)(x−9)(x+3)(x+11)(x−3)(x−11)(x+4)(x+11)(x−4)(x−11)(x+6)(x+10)(x−6)(x−10)(x+8)(x+9)(x−8)(x−9)(x+8)(x+10)(x−8)(x−10)(x+9)(x+10)(x−9)(x−10)(x+9)(x+11)(x−9)(x−11)(x+5)(x−4)(x−5)(x+4)(x+6)(x−3)(x−6)(x+3)(x+7)(x−3)(x−7)(x+3)(x+9)(x−4)(x−9)(x+4)(x+9)(x−3)(x−9)(x+3)(x+10)(x−3)(x−10)(x+3)第六章十字相乘法（二）(2x+3)(x+1)(2x+1)(x+3)(3x+1)(x+2)(3x+2)(x+2)(2x+1)(x+4)(2x+1)(x+5)(3x+4)(x+2)(2x+1)(2x+3)(4x+3)(x+2)(5x+3)(x+2)(2x+3)(3x+1)(2x+3)(3x+2)(4x+1)(2x+3)(3x+1)(3x+4)(5x+1)(2x+3)(2x−3)(x−1)(2x−1)(x−3)(3x−1)(x−2)(3x−2)(x−2)(2x−1)(x−4)(2x−1)(x−5)(3x−4)(x−2)(2x−1)(2x−3)(4x−3)(x−2)(5x−3)(x−2)(2x−3)(3x−1)(2x−3)(3x−2)(4x−1)(2x−3)(3x−1)(3x−4)(5x−1)(2x−3)(2x+3)(x−1)(2x−1)(x+2)(3x−1)(x+1)(3x−1)(x+2)(2x−1)(x+3)(2x−1)(x+4)(3x−1)(x+3)(4x−1)(x+1)(4x−1)(x+2)(5x−4)(x+2)(3x+2)(2x−1)(3x−2)(2x+3)(4x+5)(2x−1)(3x−1)(3x+4)(5x−3)(2x+3)(2x−3)(x+1)(2x+1)(x−2)(3x+1)(x−1)(3x+1)(x−2)(2x+1)(x−3)(2x+1)(x−4)(3x+1)(x−3)(4x+1)(x−1)(4x+1)(x−2)(5x+4)(x−2)(3x−2)(2x+1)(3x+2)(2x−3)(4x−5)(2x+1)(3x+1)(3x−4)(5x+3)(2x−3)(2a+b)(a+2b)(3a+b)(a+2b)(2a+b)(a+3b)(2a+b)(2a+3b)(2a+3b)(3a+b)(2a−b)(a−2b)(3a−b)(a−2b)(2a−b)(a−3b)(2a−b)(2a−3b)(2a−3b)(3a−b)(2a+3b)(a−b)(3a−b)(a+b)(2a+b)(a−2b)(3a+b)(a−2b)(5a+4b)(a−2b)(2m−n)(m+2n)(3m+n)(m−3n)(4m−n)(m+2n)(3m+2n)(2m−3n)(4m−5n)(2m+n)(2x−3)(x+3)(3x−2)(x+2)(2x+3)(2x−1)(5x−3)(x+2)(3x−1)(2x+3)(2x+3)(x−3)(3x+2)(x−2)(2x−3)(2x+1)(5x+3)(x−2)(3x+1)(2x−3)(2x+3)(x+5)(3x+2)(x+3)(4x+1)(x+3)(5x+1)(x+2)(2x+5)(3x+1)(2x−3)(x−5)(3x−2)(x−3)(4x−1)(x−3)(5x−1)(x−2)(2x−5)(3x−1)第七章先提公因式再分解2(x+2)(x−2)3(a+3)(a−3)5(m+2n)(m−2n)4x(x+2)(x−2)7(a+3b)(a−3b)2x(x+3)(x−3)6(a+2b)(a−2b)9m(m+1)(m−1)8(x+2y)(x−2y)3a(a+2)(a−2)2(x+13(a−15(m+n4(x−12(a−b2(3x+1)(3x−1)3(3a+b)(3a−b)2(5m+2n)(5m−2n)3x(2x+1)(2x−1)5b(2a+3b)(2a−3b)x(x+2)(x−2)a(a+3)(a−3)m(m+4)(m−4)2x(x+2)(x−2)3a(a+2b)(a−2b)xa25x2(x+1)(x+2)3(a−2)(a+1)2(m−2)(m−3)4(x+2)(x−1)5(a−3)(a+2)6(x−2)(x+1)2(x−3)(x−6)3(m+3)(m−2)4(a−3)(a+2)5(x+2)(x−1)2(x+2)(x+3)3(a+1)(a+2)4(m−1)(m−3)2(x−3)(x+1)3(x−2)(x−3)6(a+1)(a+2)2(m−5)(m+1)4(x−1)(x−2)5(a+1)(a+2)2(x−3)(x+2)x(x+1a(a−1m(m+22x(x+13a(a−1xa2m(m−2nx(3x−1a(2a+3y(x+2)(x−2)b(a+3)(a−3)n(m+4)(m−4)2y(x+2y)(x−2y)3b(a+3b)(a−3b)y(2x−yxy(x−y2b(2a−b2n(m+n5xy(x+2y)(x−2y)2(3(5(2(4((((2(3(2(xy+2z)(xy−2z)3(ab+2c)(ab−2c)5(mn+3p)(mn−3p)2(abc+3)(abc−3)4(xy+2z)(xy−2z)(x−y+z)(x−y−z)(a+b+c)(a+b−c)(m−3n+2p)(m−3n−2p)(2x+y+3z)(2x+y−3z)(3a−2b+5c)(3a−2b−5c)(x+2+y)(x+2−y)(a−5+b)(a−5−b)(m+n+4)(m+n−4)(2x−3+2y)(2x−3−2y)(4a+b+1)(4a+b−1)(x−4+3y)(x−4−3y)(5m+n+2p)(5m+n−2p)(a+3+2b)(a+3−2b)(3x−y+4z)(3x−y−4z)(2m−n+5p)(2m−n−5p)第八章分组分解法(a+b)(x+y)(m+n)(x−y)(a+b)(2+x)(x+y)(3−m)(b+c)(a+d)(x+y)(x+2)(a−b)(a+3)(m+n)(m−5)(x−y)(x+4)(a+b)(a−6)(x+y)(2x−3)(a−b)(3a+5)(m+n)(4m−7)(x−y)(5x+2)(a+b)(6a−1)(x+1)((a−1)((m+1)((x−2)((a+3)((x−y)(x+y+1)(a+b)(a−b+1)(m−n)(m+n+2)(x+2y)(x−2y+1)(a+3b)(a−3b+1)(2x+y)(2x−y+1)(3m+n)(3m−n+1)(x+4y)(x−4y+1)(a+5b)(a−5b+2)(2m+3n)(2m−3n+1)(x+y)(x+y−1)(a−b)(a−b−1)(m+2n)(m+2n−2)(x−3y)(x−3y−2)(2a+b)(2a+b+1)(x−y)(x+y−2)(a−b)(a+b−3)(m−n)(m+n−4)(x−2y)(x+2y−5)(a−3b)(a+3b−2)(x+2)((a−1)((m−3)((x−4)((a+2)((x−1)((a+3)((m−2)((x+5)((a−6)((x+y)(2x+3)(a−b)(3a−4)(m+n)(4m−5)(x−y)(5x+6)(a+b)(6a−7)(x+1)(2(a−1)(3(m+1)(4(x−1)(5(a+1)(6(x+y)(x−z)(a−c)(a−b)(m+n)(m−p)(x−y)(x+z)(a+c)(a−b)(x−y+z)(x+y−z)(a−b+c)(a+b−c)(m−n+p)(m+n−p)(x−2y+z)(x+2y−z)(a−3b+c)(a+3b−c)(x+y+2z)(x+y−2z)(a−b+c)(a−b−c)(m+3n+2p)(m+3n−2p)(x−5y+3z)(x−5y−3z)(2a+3b+4c)(2a+3b−4c)(x+y(a−b(m+n(x−y(a+b(x+y)(2