问题 解答题
当a=5,b=-2时,求下列代数式的值:
(1)(a+2b)(a-2b);
(2)
1
a
+
1
b

(3)a2-2b2
(4)a2+2ab+b2
答案

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)

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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