计算下列各题:(1)(-4x-3y2)(3y2-4x);(2)(3a2+12b)(3a2-12b)(9a4-14b2)(3)a(a-b)2-2b(a-b)(a+b);(4)(a2-ab+b2)(a2+

题目简介

计算下列各题:(1)(-4x-3y2)(3y2-4x);(2)(3a2+12b)(3a2-12b)(9a4-14b2)(3)a(a-b)2-2b(a-b)(a+b);(4)(a2-ab+b2)(a2+

题目详情

计算下列各题:
(1)(-4x-3y2)(3y2-4x);
(2)(3a2+
1
2
b)(3a2-
1
2
b)(9a4-
1
4
b2
(3)a(a-b)2-2b(a-b)(a+b);
(4)(a2-ab+b2)(a2+ab+b2
题型:解答题难度:中档来源:不详

答案

(1)(-4x-3y2)(3y2-4x),
=(-4x)2-(3y2)2,
=16x2-9y4;

(2)(3a2+class="stub"1
2
b)(3a2-class="stub"1
2
b)(9a4-class="stub"1
4
b2),
=[(3a2)2-(class="stub"1
2
b)2](9a4-class="stub"1
4
b2),
=(9a4-class="stub"1
4
b2)2,
=81a8-class="stub"9
2
a4b2+class="stub"1
16
b4;

(3)a(a-b)2-2b(a-b)(a+b),
=a(a2-2ab+b2)-2b(a2-b2),
=a3-2a2b+ab2-2a2b+2b3,
=a3-4a2b+ab2+2b3;

(4)(a2-ab+b2)(a2+ab+b2),
=[(a2+b2)2]-(ab)2,
=a4+a2b2+b4.

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