Question

Factor the expression using the GCF 16x+48y

Answer 1

Answer:

Factoring the expression will give;

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

Explanation:

Given the expression;

$16x+48y$

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

$\begin{gathered} 16x=2\times2\times2\times2\times x \\ 48y=2\times2\times2\times2\times3\times y \\ \text{The GCF will be;} \\ \text{GCF}=2\times2\times2\times2=16 \end{gathered}$

Factoring using the GCF, we have;

$\begin{gathered} 16x+48y=16(\frac{16x}{16}+\frac{48y}{16}) \\ =16(x+3y) \end{gathered}$

Therefore, factoring the expression will give;

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