1.(8X^6-7X^3-1) 2.(X+Y)^2-3(X+Y)-10 3.X^2Y^2-5X^2Y-6X^2 4.5(

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/07/09 01:53:55

1.(8X^6-7X^3-1) 2.(X+Y)^2-3(X+Y)-10 3.X^2Y^2-5X^2Y-6X^2 4.5(a+b)^2+23(a^2-b^2)-10(a-b)^2
求这四题的分解因式.

1.
原式=(8x³+1)(x³-1)
=(2x+1)(4x²-2x+1)(x-1)(x²+x+1)
2.
(X+Y)^2-3(X+Y)-10
设t=x+y
则原式=t^2-3t-10 十字相乘后 =(t-5)(t+2)=(x+y-5)(x+y+2)
3.
原式=（xy-6x)(xy+x)
=x（y-6）x（y+1）
=x^2(y-6）（y+1）
4.
原式=5(a+b)^2+23(a+b)(a-b)-10(a-b)^2
十字相乘后 =[5(a+b)-2(a-b)][(a+b)+5(a-b)]
=(3a+7b)(6a-4b)
=2(3a+7b)(3a-2b)

x^8-x^7y+x^6y^2-x^5y^3+x^4y^4-x^3y^5+x^2y^-xy^7+y^8 1.（（y+2x)(-2x+y)+4(x+2y)^2)/3y 2.（2(x-y)^3-8(x-y）^2(x+y)+6y( 因式分解3x^2(x-y)+6x(y-x) y=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10)的导数在x=1 1、(-7x^y)(2x^y-3xy^3+xy) 2、((x-y)^6)/((y-x)^3)/(x-y) 【2(x-y)^3-8(x-y)^2(x+y)+6y(x-y)^2】/2(x-y)^2= 因式分解 (1)6(x-y)^3-3y(y-x)^2 (2)x(x-y)(a-b)-y(y-x)( 1、x(x-y)(x+y)-x(x+y)^2 若2x-3y+4=0则x（x*x-1)+x(5-x*x)-6y+7 2(2x+3y)(3x+2y)-(6x-y)(2x-5y) 2(y-x)的平方-7(x-y)+6(x-y)-3(y-x)的平方若(x-y)/(x+y)=3 则(x+2y)/(6x-7y)等于