Expand
8x^{2}+8xy+2y^{2}
Evaluate
2\left(2x+y\right)^{2}
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2\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}.
8x^{2}+8xy+2y^{2}
Use the distributive property to multiply 2 by 4x^{2}+4xy+y^{2}.
2\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}.
8x^{2}+8xy+2y^{2}
Use the distributive property to multiply 2 by 4x^{2}+4xy+y^{2}.
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