因式分解：x-xy²；-36m²+4n²；x的4次方-16；81（x+y）4次方-16（x-y）4次方

因式分解：x-xy²；-36m²+4n²；x的4次方-16；81（x+y）4次方-16（x-y）4次方
因式分解：x-xy²；-36m²+4n²；x的4次方-16；81（x+y）4次方-16（x-y）4次方

因式分解：x-xy²；-36m²+4n²；x的4次方-16；81（x+y）4次方-16（x-y）4次方
x-xy²
=-x(y²-1)
=-x(y+1)(y-1)
-36m²+4n²；
=4(n²-9m²)
=4(n+3m)(n-3m)
x的4次方-16
=(x²+4)(x²-4)
=(x²+4)(x+2)(x-2)
81（x+y）4次方-16（x-y）4次方
=[9(x+y)²+4(x-y)²][9(x+y)²-4(x-y)²]
=(9x²+18xy+9y²+4x²-8xy+4y²)[3(x+y)+2(x-y)][3(x+y)-2(x-y)]
=(13x²+10xy+13y²)(5x+y)(x+5y)

x-xy²
=x(1-y²)
=x(1+y)(1-y)

-36m²+4n²
=4n²-36m²
=4(n²-9m²)
=4(n+3m)(n-3m)

81(x+y)^4 -16(x-y)^4
=[9(x+y)²+4(x-y)...

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x-xy²
=x(1-y²)
=x(1+y)(1-y)

-36m²+4n²
=4n²-36m²
=4(n²-9m²)
=4(n+3m)(n-3m)

81(x+y)^4 -16(x-y)^4
=[9(x+y)²+4(x-y)²][9(x+y)²-4(x-y)²]
=(13x²+10xy+13y²)[3(x+y)+2(x-y)][3(x+y)-2(x-y)]
=(13x²+10xy+13y²)(5x+y)(x+5y)

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