Question

Factor completely:$45b^6+27b^5$.

Short answer

The factor for $45b^6+27b^5$is, $9b^5\left(5b+3\right)$.

Step-by-step solution

Step 1. Given information

$45b^6+27b^5$.

We need to find the factor for the given expression.

Step 2. Find the GCF.

In the given expression, the GCF is, $9b^5$.

Now factor out the GCF from the given expression.

$9b^5\left(5b+3\right)$.

Step 3. Let us check the answer.

Multiply the factors.

$$\begin{gathered} 9b^5\left(5b+3\right)=(9b^5.5b)+\left(9b^5.3\right) \\ =45b^6+27b^5 \end{gathered}$$

which is correct.