a) \(=x^2+2xy+y^2+x^2-2xy+y^2-2x^2=2y^2\)
b) \(=\left(x+y+x-y\right)^2=\left(2x\right)^2=4x^2\)
c) \(=x^2-9-x^2+10x-25=10x-34\)
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) \(2\left(x-y\right)\left(x+y\right)+\left(x+y\right)^2+\left(x-y\right)^2=2\left(x^2-y^2\right)+x^2+2xy+y^2+x^2-2xy+y^2=2x^2-2y^2+2x^2+2y^2=4x^2\)
c) \(\left(x-3\right)\left(x+3\right)-\left(x-5\right)^2=\left(x^2-9\right)-\left(x^2-10x+25\right)=x^2-9-x^2+10x-25=10x-34\)