How do you use the distributive property to rewrite and evaluate (9-4)19?

Aug 25, 2017

See a solution process below:

Explanation:

Using the distributive property we can multiply each term within the parenthesis by the term outside the parenthesis:

$\left(9 - 4\right) \textcolor{red}{19} \implies \left(9 \times \textcolor{red}{19}\right) - \left(4 \times \textcolor{red}{19}\right)$

To evaluate, perform both multiplication operations and then subtract the results:

$\left(9 \times \textcolor{red}{19}\right) - \left(4 \times \textcolor{red}{19}\right) \implies 171 - 76 \implies 95$