# How do you multiply (m+3/4)(m-3/4)?

Jan 26, 2017

See the entire solution process below:

#### Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{m} + \textcolor{red}{\frac{3}{4}}\right) \left(\textcolor{b l u e}{m} - \textcolor{b l u e}{\frac{3}{4}}\right)$ becomes:

$\left(\textcolor{red}{m} \times \textcolor{b l u e}{m}\right) - \left(\textcolor{red}{m} \times \textcolor{b l u e}{\frac{3}{4}}\right) + \left(\textcolor{red}{\frac{3}{4}} \times \textcolor{b l u e}{m}\right) - \left(\textcolor{red}{\frac{3}{4}} \times \textcolor{b l u e}{\frac{3}{4}}\right)$

${m}^{2} - \frac{3}{4} m + \frac{3}{4} m - \frac{9}{16}$

We can now combine like terms:

${m}^{2} + \left(- \frac{3}{4} + \frac{3}{4}\right) m - \frac{9}{16}$

${m}^{2} + 0 m - \frac{9}{16}$

${m}^{2} - \frac{9}{16}$