# How do you find the product (8-m)^2?

Jan 28, 2017

See the entire solution process below:

#### Explanation:

First, we can rewrite this expression as:

$\left(8 - m\right) \left(8 - m\right)$

Then, to multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{8} - \textcolor{red}{m}\right) \left(\textcolor{b l u e}{8} - \textcolor{b l u e}{m}\right)$ becomes:

$\left(\textcolor{red}{8} \times \textcolor{b l u e}{8}\right) - \left(\textcolor{red}{8} \times \textcolor{b l u e}{m}\right) - \left(\textcolor{red}{m} \times \textcolor{b l u e}{8}\right) + \left(\textcolor{red}{m} \times \textcolor{b l u e}{m}\right)$

$64 - 8 m - 8 m + {m}^{2}$

We can now combine like terms:

$64 + \left(- 8 - 8\right) m + {m}^{2}$

$64 - 16 m + {m}^{2}$

${m}^{2} - 16 m + 64$