(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=13,b=-12.-数学

题目简介

(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=13,b=-12.-数学

题目详情

(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
题型:解答题难度:中档来源:不详

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-class="stub"5
4
ab;

(3)5ab2-10ab+5a,
=5a(b2-2b)+5a,
=5a(b2-2b+1),
=5a(b-1)2;
当a=class="stub"1
3
,b=-class="stub"1
2
时,
原式=5×class="stub"1
3
×(-class="stub"1
2
-1)2=class="stub"15
4

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