Evaluate
2\left(x^{2}+y^{2}\right)
Expand
2x^{2}+2y^{2}
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x^{2}-2xy+y^{2}+\left(x+y\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
x^{2}-2xy+y^{2}+x^{2}+2xy+y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
2x^{2}-2xy+y^{2}+2xy+y^{2}
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+y^{2}+y^{2}
Combine -2xy and 2xy to get 0.
2x^{2}+2y^{2}
Combine y^{2} and y^{2} to get 2y^{2}.
x^{2}-2xy+y^{2}+\left(x+y\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
x^{2}-2xy+y^{2}+x^{2}+2xy+y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
2x^{2}-2xy+y^{2}+2xy+y^{2}
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+y^{2}+y^{2}
Combine -2xy and 2xy to get 0.
2x^{2}+2y^{2}
Combine y^{2} and y^{2} to get 2y^{2}.
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