Question

因式分解1+2xy-x^2-y^2

Answer 1

1+2xy-x^2-y^2
＝1-（x-y）^2
=(1+x-y)(1-x+y)

追问

因式分解;15x^2*y-30xy^2+3x-6y

因式分解;15x^2*y-30xy^2+3x-6y

追答

原式＝15xy(x-2y)+3(x-2y)＝3(5xy+1)(x-2y)

追问

因式分解：ax^2+ay^2-2axy-a^3

追答

ax^2+ay^2-2axy-a^3
＝a(x^2+y^2-2xy-a^2)
=a[( x-y)^2-a^2]
=a(x-y+a)(x-y-a)