(x-2)^3-(y-2)^3-(x-y)^3 (2x^2-3x+1)^2-22x^2+33x-1 ab(a+b)_^2-(a+b)^2+1分解因式
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(x-2)^3-(y-2)^3-(x-y)^3 (2x^2-3x+1)^2-22x^2+33x-1 ab(a+b)_^2-(a+b)^2+1
分解因式
(x-2)^3-(y-2)^3-(x-y)^3
=[(x-2)-(y-2)][(x-2)^2+(x-2)(y-2)+(y-2)^2]-(x-y)(x^2+xy+y^2)
=(x-y)(x^2-4x+4+xy-2x-2y+4+y^2-4y+4)-(x-y)(x^2+xy+y^2)
=(x-y)(x^2-4x+4+xy-2x-2y+4+y^2-4y+4-x^2-xy-y^2)
=(x-y)(-6x-6y+12)
=-6(x-y)(x+y-2)
(2x^2-3x+1)^2-22x^2+33x-1
=(2x^2-3x+1)^2-11(2x^2-3x+1)+10
把2x^2-3x+1看成一个数,十字法分解因式
=(2x^2-3x+1-10)(2x^2-3x+1-1)
=(2x^2-3x-9)(2x^2-3x)
=(2x+3)(x-3)(2x^2-3x)
=x(2x+3)(x-3)(2x-3)
ab(a+b)^2-(a+b)^2+1
十字相乘法
=a(a+b)b(a+b)-(a+b)(a+b)+1
=a(a+b)b(a+b)-a(a+b)-b(a+b)+1
=a(a+b)[b(a+b)-1]-b(a+b)+1
=a(a+b)[b(a+b)-1]-[b(a+b)-1]
=[a(a+b)-1][b(a+b)-1]
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
[(3x+y)(x-y)-(2x+3y)(x-y)]*(x-y)
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
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)