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计算.(1)(a-2b+3c)2-(a+2b-3c)2;(2)[ab(3−b)−2a(b−12b2)](−3a2b3);(3)-2100×0.5100×(-1)2013÷(-1)-5;(4)[(x+2y)(x-2y)+4(x-y)2-6x]÷6x;(5)5a2-[a2+(5a2-2a)-2(a2-3a)].

题目详情
计算.
(1)(a-2b+3c)2-(a+2b-3c)2
(2)[ab(3−b)−2a(b−
1
2
b2)](−3a2b3);
(3)-2100×0.5100×(-1)2013÷(-1)-5
(4)[(x+2y)(x-2y)+4(x-y)2-6x]÷6x;
(5)5a2-[a2+(5a2-2a)-2(a2-3a)].
▼优质解答
答案和解析
(1)(a-2b+3c)2-(a+2b-3c)2=(a-2b+3c+a+2b-3c)(a-2b+3c-a-2b+3c)=2a•(-4b+6c)=12ac-8ab;(2)[ab(3−b)−2a(b−12b2)](−3a2b3)=[3ab-ab2-2ab+ab2](-3a2b3)=ab(-3a2b3)=-3a3b4;(3)-2100×0.5100...