因式分解3a^2x^3y+6ax^2y^2-12ax^2y^32.a^2(x-y)-2a(x-y)^2-(y-x)^3

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因式分解3a^2x^3y+6ax^2y^2-12ax^2y^32.a^2(x-y)-2a(x-y)^2-(y-x)^3
因式分解3a^2x^3y+6ax^2y^2-12ax^2y^3
2.a^2(x-y)-2a(x-y)^2-(y-x)^3

因式分解3a^2x^3y+6ax^2y^2-12ax^2y^32.a^2(x-y)-2a(x-y)^2-(y-x)^3
3a²x³y + 6ax²y² - 12ax²y³
= 3ax²y(ax + 2y - 4y²)

3ax^2y(ax+2y-4y^2)

回答你的补充问题吧。
a²(x-y)-2a(x-y)²-(y-x)³
=a²(x-y)-2a(x-y)²-(x-y)³
=(x-y)[a²-2a(x-y)+(x-y)²]
=(x-y)[a-(x-y)]²
=(x-y)(a-x+y)

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