问题:

求助数学解答题.关于因式分解(a+b)2(a-b)+(a-b)2(a+b)(x+y)2-4y2(m+2n)2+2(m+2n)(2m+n)+(2m+n)2x2+2xy+y2-4x-4y-5a4-a2-72x2-3x3-9+27x

更新时间:2024-04-19 11:43:49

问题描述:

求助数学解答题.关于因式分解

(a+b)2(a-b)+(a-b)2(a+b)

(x+y)2-4y2

(m+2n)2+2(m+2n)(2m+n)+(2m+n)2

x2+2xy+y2-4x-4y-5

a4-a2-72

x2-3x3-9+27x

麻文斗回答:

  (a+b)2(a-b)+(a-b)2(a+b)(x+y)2-4y2=(x+y)^2-(2y)^2=(x+y+2y)(x+y-2y)=(x+3y)(x-y)(m+2n)2+2(m+2n)(2m+n)+(2m+n)2=(m+2n+2m+n)^2,完全平方=(3m+3n)^2=9(m+n)^2x2+2xy+y2-4x-4y-5=(x^2+2xy+y^2)-(4x+4y)-...

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