问题 解答题
(1)计算:(a+3)2-a(4+a);
(2)(8a3b-5a2b2)÷4ab;
(3)先分解因式,再求值:5ab2-10ab+5a,其中a=
1
3
,b=-
1
2
答案

(1)(a+3)2-a(4+a),

=a2+6a+9-4a-a2

=2a+9;

(2)(8a3b-5a2b2)÷4ab,

=8a3b÷4ab-5a2b2÷4ab,

=2a2-

5
4
ab;

(3)5ab2-10ab+5a,

=5a(b2-2b)+5a,

=5a(b2-2b+1),

=5a(b-1)2

当a=

1
3
,b=-
1
2
时,

原式=5×

1
3
×(-
1
2
-1)2=
15
4

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