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计算:(1)(a2+3)(a-2)-a(a2-2a-2);(2)(-ab3c)•a2bc•(-8abc)2;(3)(a+b)(a-b)+(a+b)2-2(a-b)2;(4)(a5b3+a7b4-a5b5)÷a5b3.
题目详情
计算:
(1)(a2+3)(a-2)-a(a2-2a-2);
(2)(-ab3c)•a2bc•(-8abc)2;
(3)(a+b)(a-b)+(a+b)2-2(a-b)2;
(4)(a5b3+a7b4-a5b5)÷a5b3.
(1)(a2+3)(a-2)-a(a2-2a-2);
(2)(-ab3c)•a2bc•(-8abc)2;
(3)(a+b)(a-b)+(a+b)2-2(a-b)2;
(4)(a5b3+a7b4-a5b5)÷a5b3.
▼优质解答
答案和解析
(1)(a2+3)(a-2)-a(a2-2a-2),
=a3-2a2+3a-6-a3+2a2+2a,
=5a-6;
(2)(-ab3c)•a2bc•(-8abc)2,
=-a3b4c2•64a2b2c2,
=-32a5b6c4;
(3)(a+b)(a-b)+(a+b)2-2(a-b)2,
=a2-b2+a2+2ab+b2-2a2+4ab-2b2,
=6ab-2b2;
(4)(a5b3+a7b4-a5b5)÷a5b3=+a2b-6b2.
=a3-2a2+3a-6-a3+2a2+2a,
=5a-6;
(2)(-ab3c)•a2bc•(-8abc)2,
=-a3b4c2•64a2b2c2,
=-32a5b6c4;
(3)(a+b)(a-b)+(a+b)2-2(a-b)2,
=a2-b2+a2+2ab+b2-2a2+4ab-2b2,
=6ab-2b2;
(4)(a5b3+a7b4-a5b5)÷a5b3=+a2b-6b2.
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