# What is the standard form of y= (-2/9x-1/5)(3/7x-1/3) ?

Aug 5, 2016

$- \frac{19}{105} x + \frac{19}{135}$

#### Explanation:

Consider:$\text{ } \textcolor{b l u e}{\left(- \frac{2}{9} x - \frac{1}{5}\right)} \textcolor{b r o w n}{\left(\frac{3}{7} x - \frac{1}{3}\right)}$

Multiply everything inside the right hand bracket by everything in the left.

Note that the signs follow the values they are assigned to

$\textcolor{b r o w n}{\textcolor{b l u e}{- \frac{2}{9}} \left(\frac{3}{7} x - \frac{1}{3}\right) \textcolor{b l u e}{\text{ } - \frac{1}{5}} \left(\frac{3}{7} x - \frac{1}{3}\right)}$

$- \frac{2}{21} x + \frac{2}{27} \text{ } - \frac{3}{35} x + \frac{1}{15}$

$- \frac{19}{105} x + \frac{19}{135}$

Thank goodness for calculators! - Horrible numbers!!!