Question

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

Answer 1

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/7y=2 \\ 7xy/7y=x \end{gathered}`

We have

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

Hence the answer is

`7y(2+x)`