(ax+1)(y+2)-(ay+1)(x+2)是怎么变成(x-y)(2a-1)的

问题描述:

(ax+1)(y+2)-(ay+1)(x+2)是怎么变成(x-y)(2a-1)的

(ax+1)(y+2)-(ay+1)(x+2)
=axy+2ax+y+2-(axy+2ay+x+2)
=axy+2ax+y+2-axy-2ay-x-2
=2ax+y-2ay-x
=2a(x-y)-(x-y)
=(x-y)(2a-1)
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