81(x+y）的四次方—16（x—y）的四次方 分解因式
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81(x+y）的四次方—16（x—y）的四次方
=[3(x+y)]^4-[2(x-y)]^4
={[3(x+y)]²+[2(x-y)]²}{[3(x+y)]²-[2(x-y)]²}
=(13x²+14xy+13y²)[3(x+y)+2(x-y)][3(x+y)-2(x-y)]
=(13x²+14xy+13y²)(5x+y)(x+5y)
=[3(x+y)]^4-[2(x-y)]^4
={[3(x+y)]²+[2(x-y)]²}{[3(x+y)]²-[2(x-y)]²}
=(13x²+14xy+13y²)[3(x+y)+2(x-y)][3(x+y)-2(x-y)]
=(13x²+14xy+13y²)(5x+y)(x+5y)
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