top:
(2x - 3y)^2
= 4x^2 - 12xy + 9y^2
bottom:
(3y - 2x)^2
= 9y^2 - 12xy + 4x^2
= 4x^2 - 12xy + 9y^2 (same as top)
so
(4x^2 - 12xy + 9y^2) / ( 4x^2 - 12xy + 9y^2) = 1
Ava is not correct. If you look at the denominator on her work:
[-(2x – 3y)]^2
= [(-1 )(2x – 3y)]^2
= (-1)^2 (2x – 3y)^2
= (2x – 3y)^2
so (2x – 3y)^2 / (2x – 3y)^2 = 1
The correct answer is 1
