问题标题:
x²-1(xy)²-13x²+6xy+3y²(x-y)²+4xy(a+b)²+2(a+b)+1x³-25x
问题描述:
x²-1
(xy)²-1
3x²+6xy+3y²
(x-y)²+4xy
(a+b)²+2(a+b)+1
x³-25x
陈奎元回答:
x²-1=(x+1)(x-1)
(xy)²-1=(xy+1)(xy-1)
3x²+6xy+3y²=3(x+y)^2
(x-y)²+4xy=(x+y)^2
(a+b)²+2(a+b)+1=(a+b+1)^2
x³-25x=x(x+5)(x-5)
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