作业帮(3x-2y)^2+(2x-3y)^2-125(x-y)分解因式
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/27 14:28:28
(3x-2y)^2+(2x-3y)^2-125(x-y)分解因式
(3x-2y)^2+(2x-3y)^2-125(x-y)分解因式
(3x-2y)^2+(2x-3y)^2-125(x-y)分解因式
利用a^3+b^3=(a+b)(a^2-ab+b^2)=(a+b)((a-b)^2+ab)
其中125(x-y)^3=(5x-5y)^3
为方便计算令2x-3y=a;3x-2y=b;5x-5y=c且a+b=c;a-b=-(x+y)
=(a+b)((a-b)^2+ab))-c^3
=c((a-b)^2+ab-c^2)
=c((a-b)^2+ab-(a+b)^2)
=c((a-b+a+b)(a-b-a-b)+ab)
=c(2a*(-2b)+ab)
=c(-4ab+ab)=-c(3ab)=-3(5x-5y)(2x-3y)(3x-2y)
=-15(x-y)(2x-3y)(3x-2y)
(3x-2y)^2+(2x-3y)^2-125(x-y)
=9x^2+4y^2-12xy+4x^2+9y^2-12xy-125x+125y
=13x^2+13y^2-24xy-125x+125y
13x^2-24xy-125x+125y+13y^2
x(x-y)2-(y-x)3
[2/3x-2/x+y(x+y/3x-x-y)]/x-y/x
化简：{2/3x-2/(x+y)[(x+y)/3x-x-y]}/(x+y)/x
计算2/3x-2/x+y(x+y/3x-x-y)/x-y/x
化简3x-2/(x+y)[(x+y)/3x-x-y]÷(x-y)/x
计算：x+2y/x-y+2x/y-x-3y/x-y
化简:(x-3y)(x+y)-(x-2y)(x+2y)-(x-y)平方
[(3x+y)(x-y)-(2x+3y)(x-y)]*(x-y)
2X(2X-3Y)-3Y(X+Y)
(-2x y)^2-(3y-x)(-x-3y)
（x+2y)^2-(x+y)(3x-y)
计算(x+y)(x+y)^2(-x-y)^3
化简:5(x-y)+2(x+y)-3(x-y)
3x(x-y)+2y(x-y) 计算
化简3(x-y)-7(x--y)+2(y-x)
因式分解:3x(x-y)+2y(y-x)
(x-y)^3×（x-y)^2×(y-x)
分解因式：3x(y-x)-2y(x-y)