Factor completely $$ 8 p^{2}+8 p+2 $$

Question

UpStudy AI · Accepted Answer

1. Factor out the greatest common factor:
   
   $$
   8p^2 + 8p + 2 = 2(4p^2 + 4p + 1)
   $$

2. Factor the quadratic inside the parentheses. Notice that:

$$
   4p^2 + 4p + 1 = (2p + 1)^2
   $$

because

$$
   (2p + 1)^2 = 4p^2 + 4p + 1.
   $$

3. Write the completely factored form:

$$
   8p^2 + 8p + 2 = 2(2p+1)^2.
   $$
$$ 8p^2 + 8p + 2 = 2(2p + 1)^2 $$

Factor completely