Evaluate
4\left(x+3\right)^{2}+2
Expand
4x^{2}+24x+38
Graph
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4\left(x^{2}+6x+9\right)+2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
4x^{2}+24x+36+2
Use the distributive property to multiply 4 by x^{2}+6x+9.
4x^{2}+24x+38
Add 36 and 2 to get 38.
4\left(x^{2}+6x+9\right)+2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
4x^{2}+24x+36+2
Use the distributive property to multiply 4 by x^{2}+6x+9.
4x^{2}+24x+38
Add 36 and 2 to get 38.
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