Question

`ax ^(2) - ay^(2) - x -y`
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Answer 1

`a(x^2-y^2)-x-y`

Explanation:

`ax^2-ay^2-x-y`

Factorize.

`a(x^2-y^2)-x-y`

Answer 2

`(x+y)(ax-ay-1)`

Explanation:

`ax^2-ay^2-x-y\\a(x^2-y^2)-(x+y)\\a(x+y)(x-y)-(x+y)`

Taking x+y common

=>
`(x+y)[a(x-y)-1]`

=>
`(x+y)(ax-ay-1)`