Evaluate
\frac{5\left(2x+1\right)^{3}}{9}
Expand
\frac{40x^{3}}{9}+\frac{20x^{2}}{3}+\frac{10x}{3}+\frac{5}{9}
Graph
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\left(8x^{3}+12x^{2}+6x+1\right)\times \frac{5}{9}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2x+1\right)^{3}.
\frac{40}{9}x^{3}+\frac{20}{3}x^{2}+\frac{10}{3}x+\frac{5}{9}
Use the distributive property to multiply 8x^{3}+12x^{2}+6x+1 by \frac{5}{9}.
\left(8x^{3}+12x^{2}+6x+1\right)\times \frac{5}{9}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2x+1\right)^{3}.
\frac{40}{9}x^{3}+\frac{20}{3}x^{2}+\frac{10}{3}x+\frac{5}{9}
Use the distributive property to multiply 8x^{3}+12x^{2}+6x+1 by \frac{5}{9}.
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