作业帮分解因式 8括号x²-2y²-x括号7x y xy
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/14 18:48:37
先把括号化简去掉,注意去扩前的加减号,加号去括号不变号,减号去括号要变号,8（x^2-2y^2）-x（7x+y）+xy=8X^2-16y^2-7x^2-xy+xy排列一下化简后因式的顺序,8x^2-7
x²-4y²+x-2y=(x²-4y²)+(x-2y)=(x-2y)(x+2y)+(x-2y)=(x-2y)(x+2y+1)很高兴为您解答,祝你学习进步!【学习
a(y-x)-2b(x-y)=a(y-x)+2b(y-x)=(y-x)(a+2b)
x²(3x+2y)²-y²(2x+3y)²=[x(3x+2y)-y(2x+3y)][x(3x+2y)+y(2x+3y)]=(3x²+2xy-2xy-3
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
2x(4-y)再问：麻烦写下过程
解2x²y-x³-xy²=x(2xy-x²-y²)=-x(x²-2xy+y²)=-x(x-y)²
x^2-x-4y^2+2y=(x^2-4y^2)-(x-2y)=(x+2y)(x-2y)-(x-2y)=(x-2y)(x+2y-1)
2x-8x的立方=2x(1-4x²）=2x(1+2x)(1-2x)x的平方-x-2=(x-2)(x+1)
8(x^2-2y^2)-x(7x+y)+xy=8x^2-16y^2-7x^2-xy+xy=x^2-16y^2=(x-4y)(x+4y)
原式=8x^2-16y^2-7x^2-xy+xy=x^2-16y^2=（x+4y）（x-4y）．
原式=[3(x+y)]²-(x-y)²=[3(x+y)+(x-y)][3(x+y)-(x-y)]=(4x+2y)(2x+4y)=4(2x+y)(x+2y)
你的式子是无法分解的,已经是最简代数式了x^2-xy+y^2=（x-y/2）^2+3y^2/4恒大于0,无法分解
原式=(x+y)(x-y)[(x+y)(x-y)-(x²+y²)]=(x+y)(x-y)(x²-y²-x²-y²)=-2y²(x+
x^4-y^4+4x^2+4（分组分解法）=(x^4+4x^2+4)-y^4=(x^2+2)^2-y^4（公式法）=(x^2+2+y^2+2)(x^2-y^2+2)(公式法)4x^2-12xy-c^2
(x+y)^4+(x+y)^2-20＝[﹙x＋y﹚²＋5﹚][﹙x＋y﹚²－4]＝﹙x²＋2xy＋y²＋5﹚﹙x＋y－2﹚﹙x＋y＋2﹚
(2x+y)^2-(x+2y)^2=[(2x+y)-(x+2y)][(2x+y)+(x+2y)]=(2x+y-x-2y)(2x+y+x+2y)=(x-y)(3x+3y)=3(x-y)(x+y)
(x+2y)²+x+2y=（x+2y)²+(x+2y)=(x+2y)(x+2y+1）