Expand the Trigonometric Expression 2(1/5m-2/5)+3/5

$2 (\frac{1}{5} m - \frac{2}{5}) + \frac{3}{5}$

Step 1

Simplify each term.

Combine $\frac{1}{5}$ and $m$ .

$2 (\frac{m}{5} - \frac{2}{5}) + \frac{3}{5}$

Apply the distributive property.

$2 \frac{m}{5} + 2 (- \frac{2}{5}) + \frac{3}{5}$

Combine $2$ and $\frac{m}{5}$ .

$\frac{2 m}{5} + 2 (- \frac{2}{5}) + \frac{3}{5}$

Multiply $2 (- \frac{2}{5})$ .

Multiply $- 1$ by $2$ .

$\frac{2 m}{5} - 2 (\frac{2}{5}) + \frac{3}{5}$

Combine $- 2$ and $\frac{2}{5}$ .

$\frac{2 m}{5} + \frac{- 2 \cdot 2}{5} + \frac{3}{5}$

Multiply $- 2$ by $2$ .

$\frac{2 m}{5} + \frac{- 4}{5} + \frac{3}{5}$

Move the negative in front of the fraction.

$\frac{2 m}{5} - \frac{4}{5} + \frac{3}{5}$

Step 2

Combine fractions.

Combine the numerators over the common denominator.

$\frac{2 m - 4 + 3}{5}$

Add $- 4$ and $3$ .

$\frac{2 m - 1}{5}$