(a-b)^3-2ab(a-b)

学习 时间:2026-03-30 19:02:48 阅读:316
(a-b)^3-2ab(a-b)x(x+y)(x-y)-x(x+y)^2a^2(x-2a)^2-a(2a-x)^2(b+c)x+(c+a)x+(a+b)xa^3(b+c-d)+a^2b(c+d-a)-a^2c(d+a+b)

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2026-03-30 19:02:48

(a-b)^3-2ab(a-b)=(a-b)[(a-b)²-2ab]=(a-b)(a²-4ab+b²)x(x+y)(x-y)-x(x+y)^2=(x+y)(x²-xy-x²-xy)=-2xy(x+y)a^2(x-2a)^2-a(2a-x)^2=a(x-2a)²(a-1)(b+c)x+(c+a)x+(a+b)x=x(2a+2b+2c)=2x(a+b+c)a^3(b+c-d)+a^2b(c+d-a)-a^2c(d+a+b)=a²(ab+ac-ad+bc+bd-ab-dc-ac-bc)=a²(-ad+bd)=a²d(b-a)

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  • 落后的蓝天
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    2026-03-30 19:02:48

    (a-b)^3-2ab(a-b)=(a-b)[(a-b)²-2ab]=(a-b)(a²-4ab+b²)x(x+y)(x-y)-x(x+y)^2=(x+y)(x²-xy-x²-xy)=-2xy(x+y)a^2(x-2a)^2-a(2a-x)^2=a(x-2a)²(a-1)(b+c)x+(c+a)x+(a+b)x=x(2a+2b+2c)=2x(a+b+c)a^3(b+c-d)+a^2b(c+d-a)-a^2c(d+a+b)=a²(ab+ac-ad+bc+bd-ab-dc-ac-bc)=a²(-ad+bd)=a²d(b-a)

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