Question

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

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Answer 1

2/5m-1/5

Explanation:

Answer 2

`(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).`