(x-y/x+2y)的3次方

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(x-y/x+2y)的3次方
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(x-y/x+2y)的3次方
(x-y/x+2y)的3次方

(x-y/x+2y)的3次方
[(x-y)/(x+2y)]^3
=(x-y)^3/(x+2y)^3
=[(x-y)^2*(x-y)]/[(x+2y)^2*(x+2y)]
=[(x^2-2xy+y^2)^2*(x-y)]/[(x^2+4xy+4y^2)^2*(x+2y)]
=(x^3-x^2y+xy^2-y^3-2x^2y+2xy^2)/(x^3+2x^2y+4xy^2+8y^3+4x^2y+8xy^2)
=(x^3-3x^2y+3xy^2-y^3)/(x^3+6x^2y+12xy^2+8y^3)

(x-y/x+2y)^3
使用shift+6数字键可以打出那个符号。

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