计算(1)(a-b+c-d)(c-a-d-b);(2)(x+2y)(x-2y)(x4-8x2y2+16y4).

学习 时间:2026-04-08 01:16:41 阅读:4862
计算(1)(a-b+c-d)(c-a-d-b);(2)(x+2y)(x-2y)(x4-8x2y2+16y4).

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神勇的紫菜

现代的棒棒糖

2026-04-08 01:16:41

(1)原式=[(c-b-d)+a][(c-b-d)-a]=(c-b-d)2-a2=c2+b2+d2+2bd-2bc-2cd-a2,(2)∵x4-8x2y2+16y4=(x2-4y22∴原式=(x2-4y2)(x2-4y22=(x2-4y23=(x23-3(x22(4y2)+3x2•(4y22-(4y23=x6-12x4y2+48x2y4-64y6

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  • 潇洒的斑马
    回复
    2026-04-08 01:16:41

    (1)原式=[(c-b-d)+a][(c-b-d)-a]=(c-b-d)2-a2=c2+b2+d2+2bd-2bc-2cd-a2,(2)∵x4-8x2y2+16y4=(x2-4y2)2∴原式=(x2-4y2)(x2-4y2)2=(x2-4y2)3=(x2)3-3(x2)2(4y2)+3x2•(4y2)2-(4y2)3=x6-12x4y2+48x2y4-64y6.

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