# How do you find the product b(b^2-12b+1)?

Jan 8, 2017

Multiply each term within the parenthesis by $\textcolor{red}{b}$ See full process below:

#### Explanation:

Multiply each term within the parenthesis by $\textcolor{red}{b}$:

$\left(\textcolor{red}{b} \times {b}^{2}\right) - \left(\textcolor{red}{b} \times 12 b\right) + \left(\textcolor{red}{b} \times 1\right)$

Now we can use these two rules for exponents to finalize the solution:

${x}^{\textcolor{red}{1}} = x$

${x}^{\textcolor{red}{a}} \times {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

$\left(\textcolor{red}{{b}^{1}} \times {b}^{2}\right) - \left(\textcolor{red}{{b}^{1}} \times 12 {b}^{1}\right) + \left(\textcolor{red}{{b}^{1}} \times 1\right)$

${b}^{1 + 2} - 12 {b}^{1 + 1} + {b}^{1}$

${b}^{3} - 12 {b}^{2} + b$