题目内容
先化简再求值:3(y+1)2﹣5(y+1)(y﹣1)+2(y﹣1)2,其中y=
.
解: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=﹣
时,原式=2×(﹣
)+10=9.
=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=﹣
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