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

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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
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)