Ava simplified the expression and said that the value is -1.

Question

Simplify the expression:(2x-3y)^2/(3y-2x)^2

 

Ava simplified the expression and said that the value is -1.

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

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

and then she has both of them crossed out

(2x-3y)^2/-1(2x=3y)^2

=-1

Is Ava's solution correct? If not, find and explain her mistake. Give the correct solution.

Answer 1

(2x-3y)²  = 4x² - 12xy + 9y² = 1

(3y-2x)²     9y² -12xy + 4x²