Question

What is all the expressions that are equivalent to 5(2e+3)+8(e+4)+3

Answer 1

One of the ways to rewrite the expression 5(2e+3)+8(e+4)+3 , is to simplify it.

`\begin{gathered} 5\mleft(2e+3\mright)+8\mleft(e+4\mright)+3 \\ =10e+15+8e+32+3 \\ =18e+15+35 \\ =18e+50\text{ (one of the options)} \\ \text{We can rearrange this by commutative property} \\ 50+18e\text{ (one of the options)} \end{gathered}`

Now that we have simplified the expression from above, we could also factor out common terms in the expression.

`\begin{gathered} 18e+50 \\ \text{We can factor out }2\text{ in both terms, so we have} \\ (18e)/(2)=9e,(50)/(2)=25 \\ \longrightarrow2(9e+25)\text{ (one of the options)} \end{gathered}`

Therefore, the expression that are equivalent with 5(2e+3)+8(e+4)+3 are:

18e + 50

50 + 18e

2(9e + 25)