分解因式,8x平方-2y平方-x7x y xy-搜答案-搜狗做题网

原式=(x-y)²-2(x-y)+1=(x-y-1)²

X平方+2XY+Y平方-2X-2y-3=(x+y)^2-2(x+y)-3=(x+y-3)(x+y+1)

原式=(x+y)(x-y)/(x-y)^2=(x+y)/(x-y)=120/100=1.2^2指平方

x^2(y^2-1)+2x(y^2-1)+(y^2-1)=(y^2-1)(x^2+2x+1)=(y-1)(y+1)(x+1)^2

8(x^2-2y^2)-x(7x+y)+xy=8x^3-16y^2-7x^2-xy+xy=8x^3-16y^2-7x^2无法再分解

=[5(x＋y)]²－[4(x－y)]²=(5x＋5y＋4x－4y)(5x＋5y－4x＋4y)=(9x＋y)(x＋9y)

1x²+2xy-3y²=x²+2xy+y²-4y²=（x+y）²-(2y)²=(x+y+2y)(x+y-2y)=(x+3y)(x-

=7x²-4x²+4xy-y²=7x²-(2x-y)²=(√7x+2x-y)(√7x-2x+y)本题答案不唯一的

^3代表3次方,^2代表平方X^3+X^2-Y^3-Y^2=(x^3-y^3)+(x^2-y^2)=(x-y)(x^2+xy+y^2)+(x-y)(x+y)=(x-y)(x^2+xy+y^2+x+y)

2x-8x的立方=2x(1-4x²）=2x(1+2x)(1-2x)x的平方-x-2=(x-2)(x+1)

2x³-8x²y+8xy²=2x(x²-4xy+4y²)=2x(x-2y)²

2x的平方减8Y的平方=2(x²-4y²)=2(x+2y)(x-2y)

(x+3y)(x-y)

x²-4y²=x²-（2y）²=（x+2y）（x-2y）这里用到了平方差公式.很高兴为您解答,祝你学习进步!如果我的回答对你有帮助,请及时选为满意答案,谢谢~~

原式=x^4-8x^2*y^2+16y^4=(x^2-4y^2)^2=(x+2y)^2*(x-2y)^2

2x^2+3xy-2y^2-x+8y-6=(x+2y)(2x-y)-x+8y-6=(x+2y-2)(2x-y+3)

（x-y+z）(x-y-z)

16(X+Y)平方-9(Y-X)平方=[4(x+y)]²-[3(y-x)]²=[4x+4y-3y+3x][4x+4y+3y-3x]=(7x+y)(x+7y)