Evaluate
-\left(2x+y\right)^{2}+16
Expand
16-y^{2}-4xy-4x^{2}
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16-\left(4x^{2}+4xy+y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+y\right)^{2}.
16-4x^{2}-4xy-y^{2}
To find the opposite of 4x^{2}+4xy+y^{2}, find the opposite of each term.
16-\left(4x^{2}+4xy+y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+y\right)^{2}.
16-4x^{2}-4xy-y^{2}
To find the opposite of 4x^{2}+4xy+y^{2}, find the opposite of each term.
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