分解因式a(x^2+2xy+y^2)-b(x^2-y^2)帮帮忙,想想,帮帮我这个可怜的人吧,今天要写完的,请尽快回复,O(∩_∩)O谢谢

问题描述:

分解因式a(x^2+2xy+y^2)-b(x^2-y^2)
帮帮忙,想想,帮帮我这个可怜的人吧,今天要写完的,请尽快回复,O(∩_∩)O谢谢

=a(x+y)^2-b(x+y)(x-y)
=(x+y)(ax+ay-bx+by)

a(x^2+2xy+y^2)-b(x^2-y^2)
=a(x+y)^2-b(x+y)(x-y)
=(x+y)(ax+ay-bx+by)
=(x+y)[(a-b)x+(a+b)y]

a(x^2+2xy+y^2)-b(x^2-y^2)
=a(x+y)^2-b(x+y)(x-y)
=(x+y)[a(x+y)-b(x-y)]
=(x+y)(ax+ay-bx+by)