Question

Write 2 equivalentexpressions forthe followingexpression.12x + 16x

Answer 1

In order to find two equivalent expressions for the given expression, first let's add the like terms:

$\begin{gathered} 12x+16x\\ \\ =(12+16)x\\ \\ =28x \end{gathered}$

Now, instead of adding like terms, let's factor the expression using the common factor 4x:

$\begin{gathered} 12x+16x\\ \\ =4x(\frac{12x}{4x}+\frac{16x}{4x})\\ \\ =4x(3+4) \end{gathered}$

So two equivalent expressions are 28x and 4x(3+4)