How do you factor b^3 + 6b^2?

Apr 20, 2018

${b}^{2} \left(b + 6\right)$

Explanation:

Note that $b \times b \times b = {b}^{3}$
So $\left(b \times b\right) \times b \to {b}^{2} \times b = {b}^{3}$

The 'thing' that is common to both 'parts' is ${b}^{2}$ in that we have:

${b}^{2} b + 6 {b}^{2}$

Factor out the ${b}^{2}$ giving:

${b}^{2} \left(b + 6\right)$