Question

How do you rewrite the expression by factoring out the GCF: $7+49\mathrm{x}$?

Answer 1

Rewrite the given expression by factoring the GCF :

Given: $7+49\mathrm{x}$

The GCF of $7$ and $49$ is $7$

So multiply and divide the given expression by $7$, we get;

$7+49\mathrm{x}=\frac{7\left(7+49\mathrm{x}\right)}{7}$

$\Rightarrow$ $=7\left[\frac{7}{7}+\frac{49\mathrm{x}}{7}\right]$

$\Rightarrow$ $=7\left[1+7\mathrm{x}\right]$

Hence, the expression $7+49\mathrm{x}$ can be rewritten as $7\left[1+7\mathrm{x}\right]$ by factoring out the GCF.