问题 解答题
先化简再求值:3(y+1)2-5(y+1)(y-1)+2(y-1)2,其中y=-
1
2
答案

3(y+1)2-5(y+1)(y-1)+2(y-1)2

=3(y+1)2-3(y+1)(y-1)+2(y-1)2-2(y+1)(y-1)

=3(y+1)(y+1-y+1)+2(y-1)(y-1-y-1)

=6(y+1)-4(y-1)

=6y+6-4y+4

=2y+10,

当y=-

1
2
时,

原式=2×(-

1
2
)+10=9.

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