Question

Answer 1

a)\(\left(x+y\right)^2+\left(x-y\right)^2-2x^2=x^2+2xy+y^2+x^2-2xy+y^2-2x^2=2y^2\)

b) \(2\left(x-y\right)\left(x+y\right)+\left(x+y\right)^2+\left(x-y\right)^2=\left(x+y+x-y\right)^2=\left(2x\right)^2=4x^2\)

c) \(\left(x-3\right)\left(x+3\right)-\left(x-5\right)^2=x^2-9-x^2+10x-25=10x-34\)

 

Answer 2

\(a,=x^2+2xy+y^2+x^2-2xy+y^2-2x^2=2y^2\\ b,=\left(x+y+x-y\right)^2=4x^2\\ c,=x^2-9-x^2+10x-25=10x-36\)