Question

Factor the expression using the GCF.

$12+9g-30h$

Answer 1

Step 1: We have given expression is $12+9g-30h$
We will find the factors of $\left(12\right),\left(9g\right),\left(30h\right)$

$$\begin{gathered} 12=3\times 2\times 2 \\ 9g=3\times 3\times g \\ 30h=3\times 5\times 2\times h \end{gathered}$$

We can see that G.C.F of $\left(12\right),\left(9g\right),\left(30h\right)$is $3$
Now we will use the GCF to factor the expression

$$\begin{gathered} 12+9g-30h=3\left(4\right)+3\left(3g\right)-3\left(10h\right)\{Rewritetheexpression\} \\ =3(4+3g-10h)\{Distributiveproperty\} \end{gathered}$$

Final Answer: $3(4+3g-10h)$