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