Evaluate
2\left(x+3\right)^{2}+3
Expand
2x^{2}+12x+21
Graph
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\left(x^{2}+6x+9\right)\times 2+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
2x^{2}+12x+18+3
Use the distributive property to multiply x^{2}+6x+9 by 2.
2x^{2}+12x+21
Add 18 and 3 to get 21.
\left(x^{2}+6x+9\right)\times 2+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
2x^{2}+12x+18+3
Use the distributive property to multiply x^{2}+6x+9 by 2.
2x^{2}+12x+21
Add 18 and 3 to get 21.
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