因式分解 ax^2-2axy+ay^2+x^2-y^2

分类: 作业答案 • 2022-02-28 19:31:02

问题描述：

答

ax^2-2axy+ay^2+x^2-y^2
=a(x-y)²+(x-y)(x+y)
=(x-y)(a(x-y)+x+y)
=(x-y)[(a+1)x-(a-1)y]

答

（x-y)(ax-ay+x+y)

答

原式＝a(x^2-2xy+y^2) + (x^2-y^2)
＝a(x-y)^2 + (x+y)(x-y)
＝(x-y)[a(x-y)+x+y]
＝(x-y)(ax-ay+x+y)