
(x+y)的4次方-(x-y)的4次方
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(x+y)^4-(x-y)^4
=[(x+y)²-(x-y)²][(x+y)²+(x-y)²]
=[(x+y)-(x-y)][(x+y)+(x-y)][(x+y)²+(x-y)²]
=4xy[2x²+2y²]
=8xy(x²+y²)
=[(x+y)²-(x-y)²][(x+y)²+(x-y)²]
=[(x+y)-(x-y)][(x+y)+(x-y)][(x+y)²+(x-y)²]
=4xy[2x²+2y²]
=8xy(x²+y²)
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