Question

Prove that for all values of each variable in the domain of the expression, the value of the fraction does not depend on the variables:
(3x-6y)^2/4(2y-x)^2

Answer 1

Answer:

See steps below.

Step-by-step explanation:

(3x-6y)^2 / 4(2y-x)^2

= (3x-6y)^2 / (2*(2y-x))^2

= (3x-6y)^2 / (4y-2x)^2

= ((3x-6y) / (4y-2x))^2

= ( (3 * (x-2y)) / (2 * (2y - x)) )^2

= ( -3/2 )^2

= 9/4