100道题(因式分解整式乘除)

1、因式分解 & 整式乘除 100题（答案）13ab c(a-2ac+3c)23ab c(a-2ac+3c)3(x-3)(y-2)4(x+y)(x-y)5(2x-a)(x+b)6a2(a+3b)(a-3b)7(ay+bx)(ax-by)82y(a-b-c)93a-b-2(a+3b)2=(a-7b)210(a+b)(a-b-1)11(a+3)(a-3)12-(x+1)(x+2)13a(bc+b-4)14 (4x+9)(4x-9)15(3x-5)216(x-10)(x+3)17(x+5)(x-5)18(x-10)219(x+1)(x+3)20(2x-1)(2x-5)213ax(x-2)22x(

2、x+1)23(x-4)(x-a)24(5x-9)(5x+9)25(6x-5)226(2x+3)227(x-3)(x-6)28(x-3)(2x+1)292(6x-1)(x-4)30(x+2)(2x-1)31 (x+1)(2ax-3)32(3x-11)2332(2+x)(2-x)34整数内无法分解35(3x-5)236(-4x+5)(5x+4)37(4x-3)(3x-5)383(3x+1)(4x+3)39(21x+11)(x-2)40(9x2+1)(x+2)(x-2)412(x-1)(2x+1)42(x+1)(2ax-3)43(x-1)(y+1)44(x-3)(2x-3)45(3x-11)2462

3、(2-x)(2+x)47(x-1)(x+1)(x2+1)48(x+2)(x-y+2)49(2x-1)(2x-5)50(21x+11)(x-2)51(2x+y-3)(2x+y+1)52x(9x2+1)(x+2)(x-2)533x(x-2)54(7x+5)(7x-5)55(2x-1)(3x-5)56(x-1)(x-2)57(3x-8)(4x+3)58(x-6)(x+5)592(x-6)(x+2)60(3x+7)2612x2y(-3ax+4y-1)62(x-y)2(3a2-4b2) =(x-y)2(3a+2b)(3a-2b)63(a-m)(a-m)2-3y(a-m)-(x-y)644(a-1)(2x

4、+1)65(1-a)(m+mn+1) 如:m+n+mn+1=(m+1)(n+1)6616(x2+2y2)(x-2y)(x+2y)6714(64x6-1)=14(8x3-1)(8x3+1)=14(2x-1)(4x2+2x+1)(2x+1)(4x2-2x+1)68a12+2a6b4+b8-4a6b4=a12-2a6b4+b8=(a6-b4)2=(a3+b2)2(a3-b2)269-2(m8-256)=-2(m4-16)(m4+16)=-2(m2-4)(m2+4)(m4+16)=-2(m-2)(m+2)(m2+4)(m4+16)70(x+y-4)(x2+2xy+y2+4x+4y+16) 或m3-64

5、n3=(m-4n)(m2+4mn+16n2)71(x-1)(x+2)272 (ab+b+a+b)(ab+b-a-b)= (ab+2b+a)(ab-a)= a(b-1)(ab+2b+a)73 (a+x)(a-x)2-4ax(x-a)2 = (a+x)2(a-x)2-4ax(x-a)2 = (x-a)2(a+x)2-4ax = (x-a)2(a2+2ax+x2-4ax) = (x-a)2(x-a)2 = (x-a)474-15(x-y)(2x-3y)(3x-2y)75(x+2)(x+3)(x2+5x-1)76(x2+6x+6)令x2+6x=a77(x+1)(y+1)(xy+x+y-1)78(x-y

6、)(x+4)79(a+b-c)(a-b+c)80(a-b)(a+c)81(x+2y-z)(x-2y+z)82(x+1)(x+2)(x+3)83(x+1)(x-4)(x+4)(x-2)84a(a-b)285(5-x)(x-1)86(x+y-2)(x-y-2)87(x+3)(x-2)(x+2)88(x+4)(x-1)(x+1)(x+2)89(a-b)(a+b+c)90(x+y+1)(x-y-3)91(2a-b)(2a+b+3)92(3a-2b+c)(3a+2b-c)93(a-b+c)(a-b-c)94(x2+x+5)(x+2)(x-1)95x(2x-3)(x-3)(2x+3)令2x2-3x=a96(