分解因式计算:x^2(x-y)+(y-x)=?x^3+x^2+1\4x=?(2x+y)^2-(x-2y)^2=?
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![分解因式计算:x^2(x-y)+(y-x)=?x^3+x^2+1\4x=?(2x+y)^2-(x-2y)^2=?](/uploads/image/z/4493397-21-7.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E8%AE%A1%E7%AE%97%3Ax%5E2%28x-y%29%2B%28y-x%29%3D%3Fx%5E3%2Bx%5E2%2B1%5C4x%3D%3F%282x%2By%29%5E2-%28x-2y%29%5E2%3D%3F)
分解因式计算:x^2(x-y)+(y-x)=?x^3+x^2+1\4x=?(2x+y)^2-(x-2y)^2=?
分解因式计算:x^2(x-y)+(y-x)=?x^3+x^2+1\4x=?(2x+y)^2-(x-2y)^2=?
分解因式计算:x^2(x-y)+(y-x)=?x^3+x^2+1\4x=?(2x+y)^2-(x-2y)^2=?
(1)=(x-y)(x+1)(x-1)
(2)=x(x^2+x+1/4x)=x(x+1/2)^2
(3)=4x^2+4xy+y^2-x^2+4xy-4y^2
=3x^2+8xy-3y^2=(3x-y)(x+3y)