How do you factor 5a^3b^2 - 10a^2b^2 + 15a^2b?

Apr 6, 2018

See a solution process below:

Explanation:

Factor the common term of $\textcolor{red}{5 {a}^{2} b}$ from each term in the expression:

$5 {a}^{3} {b}^{2} - 10 {a}^{2} {b}^{2} + 15 {a}^{2} b \implies$

$\left(a b \times \textcolor{red}{5 {a}^{2} b}\right) - \left(2 b \times \textcolor{red}{5 {a}^{2} b}\right) + \left(3 \times \textcolor{red}{5 {a}^{2} b}\right) \implies$

$\textcolor{red}{5 {a}^{2} b} \left(a b - 2 b + 3\right)$