Question

(x–y)^2–a(y–x)
Write as a product of two polynomials

Answer 1

= (x-y) (2x - y)

Explanation:

(x–y)²–a(y–x)

= (x-y)(x-y) - a(y-x)

Factor out negative 1 from (y-x)

= (x-y)(x-y) - a(x-y)(-1)

Multiply the -1 by -a

= (x-y)(x-y) + a(x-y)

Factor out (x-y) from both terms

= (x-y) [(x-y) + a]

Remove brackets

= (x-y)(x-y+a)