50道整式加减乘除计算含答案

50道整式加减乘除计算含答案一、整式加法（10道）计算：((3x+2y)+(5x-y))答案：(3x+2y+5x-y=8x+y)计算：((2a^2-3a)+(a^2+4a-1))答案：(2a^2-3a+a^2+4a-1=3a^2+a-1)计算：((-4m+n)+(6m-2n))答案：(-4m+n+6m-2n=2m-n)计算：((5xy-3x^2)+(2x^2-4xy))答案：(5xy-3x^2+2x^2-4xy=xy-x^2)计算：((7a-2b)+(3b-5a)+2a)答案：(7a-2b+3b-5a+2a=4a+b)计算：((x^2y+xy^2)+(-x^2y+2xy^2))答案：(x^2y+xy^2-x^2y+2xy^2=3xy^2)计算：((3m^2-2m+1)+(m^2+2m-3))答案：(3m^2-2m+1+m^2+2m-3=4m^2-2)计算：((-2x^3+5x^2)+(x^3-3x^2+x))答案：(-2x^3+5x^2+x^3-3x^2+x=-x^3+2x^2+x)计算：((4ab-b^2)+(2b^2-5ab)+ab)答案：(4ab-b^2+2b^2-5ab+ab=b^2)计算：((a+b-c)+(b+c-a)+(c+a-b))答案：(a+b-c+b+c-a+c+a-b=a+b+c)二、整式减法（10道）计算：((8x-5y)-(3x-2y))答案：(8x-5y-3x+2y=5x-3y)计算：((4a^2+3a-1)-(2a^2-a+3))答案：(4a^2+3a-1-2a^2+a-3=2a^2+4a-4)计算：((-6m^2n+mn)-(-2m^2n-3mn))答案：(-6m^2n+mn+2m^2n+3mn=-4m^2n+4mn)计算：((5x^2y-xy^2)-(3x^2y+2xy^2))答案：(5x^2y-xy^2-3x^2y-2xy^2=2x^2y-3xy^2)计算：((7x-3)-(2x+5)-(x-1))答案：(7x-3-2x-5-x+1=4x-7)计算：((3a^3-2a^2+a)-(a^3-a^2-2a))答案：(3a^3-2a^2+a-a^3+a^2+2a=2a^3-a^2+3a)计算：((-x^2+4x-5)-(3x^2-6x+2))答案：(-x^2+4x-5-3x^2+6x-2=-4x^2+10x-7)计算：((2xy-3x^2y^2)-(xy-x^2y^2))答案：(2xy-3x^2y^2-xy+x^2y^2=xy-2x^2y^2)计算：((m+n-2p)-(2m-n+p))答案：(m+n-2p-2m+n-p=-m+2n-3p)计算：((5a^2b-3ab^2)-(-a^2b+ab^2)-2ab^2)答案：(5a^2b-3ab^2+a^2b-ab^2-2ab^2=6a^2b-6ab^2)三、整式乘法（15道）计算：(3xcdot2x^2)答案：(3times2cdotxcdotx^2=6x^3)计算：((-2a)cdot(-5ab))答案：((-2)times(-5)cdotacdotab=10a^2b)计算：(4m^2ncdot(-3mn^2))答案：(4times(-3)cdotm^2ncdotmn^2=-12m^3n^3)计算：((x+2)(x+3))答案：(x^2+3x+2x+6=x^2+5x+6)计算：((2a-1)(3a+4))答案：(6a^2+8a-3a-4=6a^2+5a-4)计算：((-x+5)(x+5))答案：(5^2-x^2=25-x^2)（平方差公式）计算：((3m+2n)^2)答案：((3m)^2+2times3mtimes2n+(2n)^2=9m^2+12mn+4n^2)（完全平方公式）计算：((4x-y)^2)答案：((4x)^2-2times4xtimesy+y^2=16x^2-8xy+y^2)计算：(x(x-5)+3x)答案：(x^2-5x+3x=x^2-2x)计算：((a+b)(a-b)+b^2)答案：(a^2-b^2+b^2=a^2)计算：((2x+1)(2x-1)-(x+2)^2)答案：(4x^2-1-(x^2+4x+4)=4x^2-1-x^2-4x-4=3x^2-4x-5)计算：(3m(2m^2-m+1))答案：(3mtimes2m^2-3mtimesm+3mtimes1=6m^3-3m^2+3m)计算：((x+3y)(2x-y))答案：(2x^2-xy+6xy-3y^2=2x^2+5xy-3y^2)计算：((-2a^2)(3ab-5b^2))答案：(-2a^2times3ab+(-2a^2)times(-5b^2)=-6a^3b+10a^2b^2)计算：((a-2)(a^2+2a+4))答案：(a^3+2a^2+4a-2a^2-4a-8=a^3-8)（立方差公式）四、整式除法（10道）计算：(12x^3div3x)答案：((12div3)cdot(x^3divx)=4x^2)计算：(-18a^2bdiv6ab)答案：((-18div6)cdot(a^2bdivab)=-3a)计算：(25m^3n^2div(-5mn))答案：((25div(-5))cdot(m^3n^2divmn)=-5m^2n)计算：((8x^4-4x^2)div2x^2)答案：(8x^4div2x^2-4x^2div2x^2=4x^2-2)计算：((9a^3b-6a^2b^2)div3ab)答案：(9a^3bdiv3ab-6a^2b^2div3ab=3a^2-2ab)计算：((x^3+3x^2-x)divx)答案：(x^3divx+3x^2divx-xdivx=x^2+3x-1)计算：((-12x^5y^3+8x^3y^2)div(-4x^3y))答案：(-12x^5y^3div(-4x^3y)+8x^3y^2div(-4x^3y)=3x^2y^2-2y)计算：((a^2b-ab^2)divab)答案：(a^2bdivab-ab^2divab=a-b)计算：((6x^2y^3-9x^3y^2)div3x^2y)答案：(6x^2y^3div3x^2y-9x^3y^2div3x^2y=2y^2-3xy)计算：((4m^4n^2-2m^3n)div2m^2n)答案：(4m^4n^2div2m^2n-2m^3ndiv2m^2n=2m^2n-m)五、化简求值（5道）先化简，再求值：((2x+3)(2x-3)-4x(x-1)+(x-2)^2)，其中(x=-3)化简：(4x^2-9-4x^2+4x+x^2-4x+4=x^2-5)求值：当(x=-3)时，((-3)^2-5=9-5=4)先化简，再求值：(3a(a^2+2a+1)-2(a+1)^2)，其中(a=2)化简：(3a^3+6a^2+3a-2(a^2+2a+1)=3a^3+6a^2+3a-2a^2-4a-2=3a^3+4a^2-a-2)求值：当(a=2)时，(3times8+4times4-2-2=24+16-2-2=36)先化简，再求值：((x+2y)(x-2y)-(x-4y)^2div4y)，其中(x=5)，(y=2)化简：(x^2-4y^2-(x^2-8xy+16y^2)div4y=x^2-4y^2-frac{1}{4}x^2+2xy-4y^2=frac{3}{4}x^2+2xy-8y^2)求值：当(x=5)，(y=2)时，(frac{3}{4}times25+2times5times2-8times4=18.75+20-32=6.75)（或(frac{27}{4})）先化简，再求值：((a-b)^2+b(a-b))，其中(a=2)，(b=-3)化简：(a^2-2ab+b^2+ab-b^2=a^2-ab)求值：当(a=2)，(b=-3)时，(4-2times(-3)=4+6=10)先化简，再求值：((2x^3-3x^2y-2xy^2)divx-(x-y)(x+y))，其中(x=frac{1