因式分解(平方差公式)要过程a^3-ab^2m^2(x-y)+n^2(y-x)2-2m^43(x+y)^2-27a^2(b-1)+b^2-b^3(3m^2-n^2)^2-(m^2-3n^2)^2("^"就是平方的意思)

问题描述:

因式分解(平方差公式)要过程
a^3-ab^2
m^2(x-y)+n^2(y-x)
2-2m^4
3(x+y)^2-27
a^2(b-1)+b^2-b^3
(3m^2-n^2)^2-(m^2-3n^2)^2
("^"就是平方的意思)

=a(a^2-b^2)=a(a+b)(a-b)
=(x-y)(m^2-n^2)=(x-y)(m+n)(m-n)
=2(1-m^4)=2(1+m^2)(1-m^2)=2(1+m)(1-m)(1+m^2)
=3[(x+y)^2-9]=3(x+y+3)(x+y-3)
=(b-1)(a^2-b^2)=(b-1)(a+b)(a-b)
=(3m^2-n^2+m^2-3n^2)(3m^2-n^2-m^2+3n^2)=8(m^2-n^2)(m^2+n^2)=8(m+n)(m-n)(m^2+n^2)
麻烦选我为最佳答案,谢谢,打得很辛苦,希望能帮到你

,m

a^3-ab^2=a(a²-b²)=a(a+b)(a-b)m^2(x-y)+n^2(y-x)=(x-y)(m²-n²)=(x-y)(m+n)(m-n)2-2m^4=2(1-m^4)=2(1+m²)(1-m²)=2(1+m²)(1+m)(1-m)3(x+y)^2-27=3[(x+y)²-9)=3(x+y+3)(x+y-3...