algebra

[colakumarfanta]

find [(xy)^2 - (x + y)^2]^2.
A. 32 (xy) ^ 2 B. 16 (xy) ^ 2 C. 4 (xy) ^ 2 D. 2 (xy) ^ 2 E. (xy) ^ 2

[user123321]

I am not so sure about the choices.
when I keep x = 1, y =2 , none of the choices seem to obey

user123321

[Anurag@Gurome]

find [(xy)^2 - (x + y)^2]^2

I guess a minus sign is missing here.

[(x - y)² - (x + y)²]² = [-4xy]² = 16(xy)² ---> Option B

Whereas, the given expression [(xy)² - (x + y)²]² = [x²y² - x² - y² - 2xy]² is not reducible to any of the given options.

[vaibhavgupta]

find [(xy)^2 - (x + y)^2]^2.
A. 32 (xy) ^ 2 B. 16 (xy) ^ 2 C. 4 (xy) ^ 2 D. 2 (xy) ^ 2 E. (xy) ^ 2

Would request you to check the question.