# How do you find the product of (8 - 9x)^2?

Feb 9, 2017

See the entire solution process below:

#### Explanation:

We can rewrite this expression as:

$\left(\textcolor{red}{8} - \textcolor{red}{9 x}\right) \left(\textcolor{b l u e}{8} - \textcolor{b l u e}{9 x}\right)$ which becomes:

$\left(\textcolor{red}{8} \times \textcolor{b l u e}{8}\right) - \left(\textcolor{red}{8} \times \textcolor{b l u e}{9 x}\right) - \left(\textcolor{red}{9 x} \times \textcolor{b l u e}{8}\right) + \left(\textcolor{red}{9 x} \times \textcolor{b l u e}{9 x}\right)$

$64 - 72 x - 72 x + 81 {x}^{2}$

We can now combine like terms:

$64 - \left(72 + 72\right) x + 81 {x}^{2}$

$64 - 144 x + 81 {x}^{2}$

$81 {x}^{2} - 144 x + 64$