问题 解答题

先化简,再求值:(x+5y)(x+4y)-(x-y)(x+y),其中x=2,y=-1.

答案

(x+5y)(x+4y)-(x-y)(x+y),

=x2+9xy+20y2-x2+y2

=9xy+21y2

当x=2,y=-1时,原式=9xy+21y2=-18+21=3.

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