题目内容
当a=5,b=-2时,求下列代数式的值:
(1)(a+2b)(a-2b);
(2)
+
;
(3)a2-2b2;
(4)a2+2ab+b2.
(1)(a+2b)(a-2b);
(2)
| 1 |
| a |
| 1 |
| b |
(3)a2-2b2;
(4)a2+2ab+b2.
当a=5,b=-2时,
(1)(a+2b)(a-2b)
=[5+2×(-2)][5-2×(-2)]
=(5-4)×(5+4)
=1×9
=9;
(2)
+
=
+
=-
;
(3)a2-2b2
=52-2×(-2)2
=25-8
=17;
(4)a2+2ab+b2
=52+2×5×(-2)+(-2)2
=25-20+4
=9.
(1)(a+2b)(a-2b)
=[5+2×(-2)][5-2×(-2)]
=(5-4)×(5+4)
=1×9
=9;
(2)
| 1 |
| a |
| 1 |
| b |
| 1 |
| 5 |
| 1 |
| -2 |
| 3 |
| 10 |
(3)a2-2b2
=52-2×(-2)2
=25-8
=17;
(4)a2+2ab+b2
=52+2×5×(-2)+(-2)2
=25-20+4
=9.
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