Question

Factor completely:$3a^4+18a^3$.

Short answer

The factors of$3a^4+18a^3$are,$3a^3\left(a+6\right)$.

Step-by-step solution

Step 1. Given information

$3a^4+18a^3$.

Step 2. Find the GCF.

We need to find the factors for the given expression.

In the given expression, the GCF is, $3a^3$.

Now factor out the GCF from the given expression.

$3a^4+18a^3=3a^3\left(a+6\right)$.

Step 3. Let us check the answer.

Multiply the obtained factors.

$$\begin{gathered} 3a^3\left(a+6\right)=(3a^3.a)+(3a^3.6) \\ =3a^4+18a^3 \end{gathered}$$

which is correct.