Evaluate
\left(2x+3\right)^{2}+1
Expand
4x^{2}+12x+10
Graph
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4\left(x^{2}+3x+\frac{9}{4}\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+\frac{3}{2}\right)^{2}.
4x^{2}+12x+9+1
Use the distributive property to multiply 4 by x^{2}+3x+\frac{9}{4}.
4x^{2}+12x+10
Add 9 and 1 to get 10.
4\left(x^{2}+3x+\frac{9}{4}\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+\frac{3}{2}\right)^{2}.
4x^{2}+12x+9+1
Use the distributive property to multiply 4 by x^{2}+3x+\frac{9}{4}.
4x^{2}+12x+10
Add 9 and 1 to get 10.
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