Answer:
[tex]a(x^2-y^2)-x-y[/tex]
Step-by-step explanation:
[tex]ax^2-ay^2-x-y[/tex]
Factorize.
[tex](x+y)(ax-ay-1)[/tex]
[tex]ax^2-ay^2-x-y\\a(x^2-y^2)-(x+y)\\a(x+y)(x-y)-(x+y)[/tex]
Taking x+y common
=> [tex](x+y)[a(x-y)-1][/tex]
=> [tex](x+y)(ax-ay-1)[/tex]
