Question

Combine like terms to create an equivalent expression. Make sure to simplify coefficients and constants as well. 2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+\dfrac352( 5 1 ​ m− 5 2 ​ )+ 5 3 ​

Answer 1

Given : $2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+ \dfrac35$

To Find :  Combine like terms to create an equivalent expression

Solution:

$2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+ \dfrac35$

Apply distributive property

$= 2\times \dfrac{1}{5}m- 2\times \dfrac{2}{5}+ \dfrac35$

$= \dfrac{2}{5}m- \dfrac{4}{5}+ \dfrac35$

$= \dfrac{2}{5}m- \left( \dfrac{4}{5}- \dfrac35\right)$

$= \dfrac{2}{5}m- \left( \dfrac{4-3}{5}\right)$

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

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

$2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+ \dfrac35$  $= \dfrac{2}{5}m- \dfrac{1}{5}$

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