Q. 246

In the following exercises, factor completely.

$30 n^{2} + 30 n + 72$

Verified

Answer

The required factors are $6 (5 n^{2} + 5 n + 12)$

1Step 1. Given Information

The given expression is $30 n^{2} + 30 n + 72$

2Step 2. Calculation

We will find the factors by factoring out the common term.

$30 n^{2} + 30 n + 72 = 6 (5 n^{2} + 5 n + 12)$

3Step 3. Check

We will verify the factors by multiplying the factors.

$6 (5 n^{2} + 5 n + 12) = 30 n^{2} + 30 n + 72$