Expand
3x^{2}+18x+7
Evaluate
3\left(x+3\right)^{2}-20
Graph
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3\left(x^{2}+6x+9\right)-20
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
3x^{2}+18x+27-20
Use the distributive property to multiply 3 by x^{2}+6x+9.
3x^{2}+18x+7
Subtract 20 from 27 to get 7.
3\left(x^{2}+6x+9\right)-20
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
3x^{2}+18x+27-20
Use the distributive property to multiply 3 by x^{2}+6x+9.
3x^{2}+18x+7
Subtract 20 from 27 to get 7.
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