计算:(1)(a-2b+c)(a+2b-c)-(a+2b+c)2;(2)(x+y)4(x-y)4;(3)(a+b+c)(
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计算:
(1)(a-2b+c)(a+2b-c)-(a+2b+c)2;
(2)(x+y)4(x-y)4;
(3)(a+b+c)(a2+b2+c2-ab-ac-bc).
(1)(a-2b+c)(a+2b-c)-(a+2b+c)2;
(2)(x+y)4(x-y)4;
(3)(a+b+c)(a2+b2+c2-ab-ac-bc).
![计算:(1)(a-2b+c)(a+2b-c)-(a+2b+c)2;(2)(x+y)4(x-y)4;(3)(a+b+c)(](/uploads/image/z/12663726-6-6.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9A%EF%BC%881%EF%BC%89%EF%BC%88a-2b%2Bc%EF%BC%89%EF%BC%88a%2B2b-c%EF%BC%89-%EF%BC%88a%2B2b%2Bc%EF%BC%892%EF%BC%9B%EF%BC%882%EF%BC%89%EF%BC%88x%2By%EF%BC%894%EF%BC%88x-y%EF%BC%894%EF%BC%9B%EF%BC%883%EF%BC%89%EF%BC%88a%2Bb%2Bc%EF%BC%89%EF%BC%88)
(1)原式=a2-(2b-c)2-(a2+4b2+c2+4ab+4bc+2ac)
=a2-4b2-c2+4bc-a2-4b2-c2-4ab-4bc-2ac
=-8b2-2c2-4ab-2ac;
(2)原式=[(x+y)(x-y)]4
=(x2-y2)4
=x8+y8+6x4y4-4x6y2-4x2y6;
(3)原式=a3+ab2+ac2-a2b-a2c-abc+a2b+b3+bc2-ab2-abc-b2c+a2c+b2c+c3-abc-ac2-bc2
=a3+b3+c3-3abc.
=a2-4b2-c2+4bc-a2-4b2-c2-4ab-4bc-2ac
=-8b2-2c2-4ab-2ac;
(2)原式=[(x+y)(x-y)]4
=(x2-y2)4
=x8+y8+6x4y4-4x6y2-4x2y6;
(3)原式=a3+ab2+ac2-a2b-a2c-abc+a2b+b3+bc2-ab2-abc-b2c+a2c+b2c+c3-abc-ac2-bc2
=a3+b3+c3-3abc.
计算:(1)(a-2b+c)(a+2b-c)-(a+2b+c)2;(2)(x+y)4(x-y)4;(3)(a+b+c)(
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