Question

If x^2-y^2=12 and x-y=4, what is the value o x^2+2xy+y^2?

Answer 1

hint: factorise x^2 - y^2 and x^2 + 2xy + y^2 separately

Answer 2

So (x+y)(x-y)=12

Answer 3

(x+y)(x-y)=12.....(1)
(x-y)=4....(2)

use equation 1 & 2 to find (x+y), then

\(x^2+2xy+y^2=(x+y)^2=?\)