Question

Factor out the coefficient of the variable term.

$-\frac{2}{5}w+\frac{4}{5}$

Answer 1

Factor out the coefficient of the variable term

We have,

$$\begin{gathered} =-\frac{2}{5}w+\frac{4}{5} \\ =-\frac{2}{5}w+\left(\frac{2}{5}\right)\left(2\right) \\ =\left(\frac{2}{5}\right)\left(-w+2\right)[\mathrm{Using}\mathrm{distributive}\mathrm{property}\mathrm{i}.\mathrm{e}.\left(\mathrm{ab}+\mathrm{ac}\right)=\mathrm{a}\left(\mathrm{b}+\mathrm{c}\right)] \end{gathered}$$

Hence, $-\frac{2}{5}w+\frac{4}{5}=\left(\frac{2}{5}\right)\left(-w+2\right)$