Evaluate
\left(2x+y\right)^{2}-3y-6x+1
Expand
4x^{2}+4xy-6x+y^{2}-3y+1
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4x^{2}+4xy+y^{2}-3\left(2x+y\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+y\right)^{2}.
4x^{2}+4xy+y^{2}-6x-3y+1
Use the distributive property to multiply -3 by 2x+y.
4x^{2}+4xy+y^{2}-3\left(2x+y\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+y\right)^{2}.
4x^{2}+4xy+y^{2}-6x-3y+1
Use the distributive property to multiply -3 by 2x+y.
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