
(x+y)四次方-(x-y)的四次方 因式分解用平方差公式
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(x+y)四次方-(x-y)的四次方
=[(x+y)²+(x-y)²][(x+y)²-(x-y)²]
=(x²+2xy+y²+x²-2xy+y²)[(x+y)+(x-y)][(x+y)-(x-y)]
=2(x²+y²)(x+y+x-y)(x+y-x+y)
=8xy(x²+y²)
=[(x+y)²+(x-y)²][(x+y)²-(x-y)²]
=(x²+2xy+y²+x²-2xy+y²)[(x+y)+(x-y)][(x+y)-(x-y)]
=2(x²+y²)(x+y+x-y)(x+y-x+y)
=8xy(x²+y²)
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