If b+a=x and a-b=y, then a2-b2= ?

If b+a=x and a-b=y, then a2-b2= ?

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

B (x^2-y)/2

C xy

D (xy)/2

Solution

Correct Answer: Option C

Given, b + a = x

or, a + b = x
and, a - b = y

Now,

a²-b² = (a+b)(a-b)

= xy