Evaluate
-4\left(x+y\right)^{2}+2
Expand
2-4y^{2}-8xy-4x^{2}
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2-4\left(x^{2}+2xy+y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
2-4x^{2}-8xy-4y^{2}
Use the distributive property to multiply -4 by x^{2}+2xy+y^{2}.
2-4\left(x^{2}+2xy+y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
2-4x^{2}-8xy-4y^{2}
Use the distributive property to multiply -4 by x^{2}+2xy+y^{2}.
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