因式分解(x+y)^2y^2-12(x+y)y^2+36y^2-y^4

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因式分解(x+y)^2y^2-12(x+y)y^2+36y^2-y^4
因式分解(x+y)^2y^2-12(x+y)y^2+36y^2-y^4

因式分解(x+y)^2y^2-12(x+y)y^2+36y^2-y^4
解.(x+y)²y²-12(x+y)y²+36y²-y^4
=y²[(x+y)²-12(x+y)+36]-y^4
=y²[(x+y)-6]²-y^4
=[y²+(x-6)y]²-(y²)²
=[y²+(x-6)y+y²][y²+(x-6)y-y²]
=y(x-6)[2y²+(x-6)y]

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