分解因式x^2 xy-2y^2=0-搜答案-灵鹊做题网

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

x²-3x²y-3xy²-y²（这里应该少了²）=(x+y)(x-y)-3xy(x+y)=(x+y)(x-y-3xy)

（1-x^2)(1-y^2)+4xy=1-x²-y²+x²y²+4xy=（x²y²+2xy+1）-（x²-2xy+y²）

壹点丶dream：-2xy-x²-y²=-(2xy+x²+y²)=-(x+y)²

2xy+9-x^2-y^2=9-x^2-y^2+2xy=9-(x^2+y^2-2xy)=9-(x-y)^2=[3-(x-y)][3+(x-y)]=(3-x+y)(3+x-y)

2.6x²-13xy+6y²+22x-23y+20=(2x-3y)(3x-2y)+22x-23y+4×5=(2x-3y+4)(3x-2y+5)3.(x²+4x+8)

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

x^2-6xy+9y^2-2x+6y=(x^2-6xy+9y^2)-(2x-6y)=(x-3y)^3-2(x-3y)=(x-3y)(x-3y-2)

12x^2+xy-6y^2=(4x+3y)(3x-2y)

4x²+2xy-2y²+4x+7y-3=(2x-y+3)(2x+2y-1)因为4x²+2xy-2y²=(2x-y)(2x+2y)所以设4x²+2xy-

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

原式=8x^2-16y^2-7x^2-xy+xy=x^2-16y^2=（x+4y）（x-4y）．

是不是x^3y+x^2y+2xy^2-4xy^3原式=xy(x^2-4y^2)+x^2y+2xy^2=xy(x+2y)(x-2y)+xy(x+2y)=xy(x+2y)(x-2y+1)

这个题目看结构,应该是出错了,好像应该是(x^2-2xy)^2+2y^2(x^2-2xy)+y^4只有这样,才能形成完全平方公式(x^2-2xy)^2+2y^2(x^2-2xy)+y^4=(x^2-2

x²+2xy+y²-1=(x+y)²-1=(x+y+1)(x+y-1)

x^2-xy+y^2 分解因式

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

授人以鱼不如教人以渔,解这样的题关键还是要有思路,不能向上面的人只给答案,将来你还是会遇到问题.思路如下：-2x²y-12xy²+8xy³=xy(8y^2-2x-12y)

9-x^2+2xy-y^2=9-(x-y)^2=[3-(x-y)][3+(x-y)]=(3-x+y)(3+x-y)

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

x^2-2xy+y^2-9=(x-y)^2-9=(x-y+3)(x-y-3)