(x-2y)的三次方+8x平方y-16xy平方因式分解
问题描述：
(x-2y)的三次方+8x平方y-16xy平方因式分解
答
(x-2y)的三次方+8x平方y-16xy平方
=(x-2y)³+2xy(x-2y)
=(x-2y)[(x-2y)²+2xy]
=(x-2y)(x²-4xy+4y²+2xy)
=(x-2y)(x²-2xy+4y²)
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答
(x-2y)^3+8x^2*y-16xy^2
=x^3-8y^3-6x^2*y+12xy^2+8x^2*y-16xy^2
=x^3+2x^2*y-8y^3-4xy^2
=(x-2y)(x+2y)^2
答
(x-2y)³+8x²y-16xy= (x-2y)³+8xy(x-2y)=(x-2y)[(x-2y)²+8xy]=(x-2y)[x²-4xy+4y²+8xy]=(x-2y)[x²+4xy+4y²]=(x-2y)(x+2y)²