题目内容
先化简,再求值:2a(a+b)-(a+b)2,其中a=
,b=
.
| 3 |
| 5 |
解法一:2a(a+b)-(a+b)2,
=2a2+2ab-(a2+2ab+b2),
=a2-b2,
当a=
,b=
时,原式=(
)2-(
)2=-2;
解法二:2a(a+b)-(a+b)2,
=(a+b)(2a-a-b),
=(a+b)(a-b),
=a2-b2,
当a=
,b=
时,原式=(
)2-(
)2=-2.
=2a2+2ab-(a2+2ab+b2),
=a2-b2,
当a=
| 3 |
| 5 |
| 3 |
| 5 |
解法二:2a(a+b)-(a+b)2,
=(a+b)(2a-a-b),
=(a+b)(a-b),
=a2-b2,
当a=
| 3 |
| 5 |
| 3 |
| 5 |
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