How do you multiply ( x-4 )/(5x^2(x+y) )*( y^2-x^2)/(16y-4x)?

1 Answer
May 29, 2018

((x-4)(y-x))/(20x^2(4y-x))

Explanation:

(x-4)/(5x^2(x+y)) xx (y^2-x^2)/(16y-4x)

Factorise each expression as far as possible:

=((x-4))/(5x^2(x+y)) xx ((y+x)(y-x))/(4(4y-x))

Cancel any common factors.

=((x-4))/(5x^2cancel((x+y))) xx (cancel((y+x))(y-x))/(4(4y-x))

=((x-4)(y-x))/(20x^2(4y-x))