Question

Factor completely the polynomial:ax–y+x–ay

Answer 1

The factors for the given polynomial is (x-y) and (a+1)

Therefore
`ax-y+x-ay=(x-y)(a+1)`

Explanation:

Given polynomial expression is
`ax-y+x-ay`

To simplify the given polynomial:

`ax-y+x-ay`

`=ax+x-ay-y` ( Rewritting the above polynomial)

`=(a+1)x-(a+1)y` (Taking the common terms )

`=x(a+1)-y(a+1)`(using commutative property )

`=(x-y)(a+1)` (taking common factor )

Therefore
`ax-y+x-ay=(x-y)(a+1)`

Therefore the factors for the given polynomial is (x-y) and (a+1)