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

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

(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)-...