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

Question

asked Jun 17, 2019 107k views

2 Answers

Surender Raja · Answer 1 · 2019-06-23T21:38:53+0000

Answer:

(2)/(5)m-(1)/(5)

Explanation:

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

$2\cdot \left((1)/(5)m-(2)/(5)\right)=2\cdot (1)/(5)m-2\cdot (2)/(5)=(2)/(5)m-(4)/(5).$

Then given expression will take look

(2)/(5)m-(4)/(5)+(3)/(5).

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

-(4)/(5)+(3)/(5)=-(1)/(5).

Therefore, an equivalent expression is

(2)/(5)m-(1)/(5).