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Simplify the given expression using the properties of operations. 2/5(a+b)+3/5(a+c)

Simplify the given expression using the properties of operations. 2/5(a+b)+3/5(a+c-example-1
User Max Meijer
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1 Answer

9 votes
9 votes

The expression:


(2)/(5)(a+b)+(3)/(5)(a+c)

can be simplified by following the steps below:

Step 1:Expand the expression


(2a)/(5)+(2b)/(5)+(3a)/(5)+(3c)/(5)

Step 2: Collect the like terms


(2a)/(5)+(3a)/(5)+(2b)/(5)+(3c)/(5)

Step 3: Simplify the expression


\begin{gathered} (2a+3a)/(5)+(2b)/(5)+(3c)/(5) \\ (5a)/(5)+(2b)/(5)+(3c)/(5) \\ \Rightarrow \\ a+(2b)/(5)+(3c)/(5) \\ \end{gathered}

=>


a+((2)/(5))b+((3)/(5))c

The correct answer is option A

User Mattty
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