Question

Factor the expression using the GCF 16x+48y

Answer 1

Factoring the expression will give;

`16x+48y=16(x+3y)`

Step-by-step explanation:

Given the expression;

`16x+48y`

Let us find the greatest common factor of the two terms;

`\begin{gathered} 16x=2*2*2*2* x \\ 48y=2*2*2*2*3* y \\ \text{The GCF will be;} \\ \text{GCF}=2*2*2*2=16 \end{gathered}`

Factoring using the GCF, we have;

`\begin{gathered} 16x+48y=16((16x)/(16)+(48y)/(16)) \\ =16(x+3y) \end{gathered}`

Therefore, factoring the expression will give;

`16x+48y=16(x+3y)`