Question

In the following exercises, factor completely.
$8p^2+2$

Short answer

The factored form of the given expression is $2(4p^2+1)$.

Step-by-step solution

Step 1. Given information.

The given expression is:
$8p^2+2$

Step 2. Determine the factored form.

The given expression can be written as:
$\begin{array}{rcl}8p^2+2& =& 2\times 4p^2+2\times 1\\ & =& 2(4p^2+1)\end{array}$

Step 3. Conclusion.

The factored form of the given expression is $2(4p^2+2)$.