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alexira [117]
3 years ago
15

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

Mathematics
2 answers:
Romashka [77]3 years ago
6 0

Answer:

2/5m-1/5

Step-by-step explanation:

Alexus [3.1K]3 years ago
5 0

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}.

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