问题标题:
分解因式:xy(xy+1)+(xy+3)−2(x+y+12)−(x+y−1)2.
问题描述:
分解因式:xy(xy+1)+(xy+3)−2(x+y+12)−(x+y−1)2.
黄三发回答:
原式=(xy)2+2xy+3-2(x+y)-1-(x+y)2+2(x+y)-1,
=(xy)2+2xy+1-(x+y)2,
=(xy+1)2-(x+y)2,
=(xy+1+x+y)(xy+1-x-y),
=(x+1)(y+1)(x-1)(y-1).
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