Question

Please factor this expression (7th grade):14y + 7xy

Answer 1

SOLUTION

We want to factor the expression

$14y+7xy$

Looking at the expression, we can see that 7 and y are common in

$\begin{gathered} 14y+7xy \\ \end{gathered}$

This makes the highest common factor to be 7y

So we have

$\begin{gathered} 14y\div7y=2 \\ 7xy\div7y=x \end{gathered}$

We have

$\begin{gathered} 14y+7xy \\ 7y(2+x) \end{gathered}$

Hence the answer is

$7y(2+x)$