Evaluate
\left(x+3\right)\left(x+9\right)
Expand
x^{2}+12x+27
Graph
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4x^{2}+12x+9-3\left(x^{2}-6\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
4x^{2}+12x+9-3x^{2}+18
Use the distributive property to multiply -3 by x^{2}-6.
x^{2}+12x+9+18
Combine 4x^{2} and -3x^{2} to get x^{2}.
x^{2}+12x+27
Add 9 and 18 to get 27.
4x^{2}+12x+9-3\left(x^{2}-6\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
4x^{2}+12x+9-3x^{2}+18
Use the distributive property to multiply -3 by x^{2}-6.
x^{2}+12x+9+18
Combine 4x^{2} and -3x^{2} to get x^{2}.
x^{2}+12x+27
Add 9 and 18 to get 27.
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Limits
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