Question

Combine like terms to create an equivalent expression. 2(1/5m - 2/5) + 3/5 ​

Answer 1

Answer:

2/5m-1/5

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step explanation:

First, use the distributive property $a\cdot (b-c)=a\cdot b-a\cdot c.$ Thus,

$2\cdot \left(\dfrac{1}{5}m-\dfrac{2}{5}\right)=2\cdot \dfrac{1}{5}m-2\cdot \dfrac{2}{5}=\dfrac{2}{5}m-\dfrac{4}{5}.$

Then given expression will take look

$\dfrac{2}{5}m-\dfrac{4}{5}+\dfrac{3}{5}.$

This expression consists of three terms, one term with m and two terms without m. Combine terms without m:

$-\dfrac{4}{5}+\dfrac{3}{5}=-\dfrac{1}{5}.$

Therefore, an equivalent expression is

$\dfrac{2}{5}m-\dfrac{1}{5}.$