Evaluate
12\left(3x+y\right)^{2}
Expand
108x^{2}+72xy+12y^{2}
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\left(36x^{2}+24xy+4y^{2}\right)\times 3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(6x+2y\right)^{2}.
108x^{2}+72xy+12y^{2}
Use the distributive property to multiply 36x^{2}+24xy+4y^{2} by 3.
\left(36x^{2}+24xy+4y^{2}\right)\times 3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(6x+2y\right)^{2}.
108x^{2}+72xy+12y^{2}
Use the distributive property to multiply 36x^{2}+24xy+4y^{2} by 3.
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