Question

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

Answer 1

Answer:

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

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

Step-by-step 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)