Evaluate
\frac{3\left(x+1\right)\left(x+5\right)}{2}
Expand
\frac{3x^{2}}{2}+9x+\frac{15}{2}
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\frac{3}{2}\left(x^{2}+6x+9\right)-6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
\frac{3}{2}x^{2}+9x+\frac{27}{2}-6
Use the distributive property to multiply \frac{3}{2} by x^{2}+6x+9.
\frac{3}{2}x^{2}+9x+\frac{15}{2}
Subtract 6 from \frac{27}{2} to get \frac{15}{2}.
\frac{3}{2}\left(x^{2}+6x+9\right)-6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
\frac{3}{2}x^{2}+9x+\frac{27}{2}-6
Use the distributive property to multiply \frac{3}{2} by x^{2}+6x+9.
\frac{3}{2}x^{2}+9x+\frac{15}{2}
Subtract 6 from \frac{27}{2} to get \frac{15}{2}.
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