Expand
3a^{2}+12ab+12b^{2}
Evaluate
3\left(a+2b\right)^{2}
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3\left(a^{2}+4ab+4b^{2}\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+2b\right)^{2}.
3a^{2}+12ab+12b^{2}
Use the distributive property to multiply 3 by a^{2}+4ab+4b^{2}.
3\left(a^{2}+4ab+4b^{2}\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+2b\right)^{2}.
3a^{2}+12ab+12b^{2}
Use the distributive property to multiply 3 by a^{2}+4ab+4b^{2}.
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