Question

Factor completely.

Answer 1

The Answer is:

(2+9)2

Answer 2

For this case we must factor the following expression:

$4p ^ 2 + 36p + 81$

We rewrite $4p ^ 2\ as\ (2x) ^ 2\ and\\ \\81\ as\ 9 ^ 2$

So:

$(2p) ^ 2 + 36p + 9 ^ 2$

Verify the term of the medium:

$2ab = 2 * (2p) * 9\\2ab = 36p$

We factor using the perfect square trinomial rule:

$a ^ 2 + 2ab + b ^ 2 = (a + b) ^ 2$

Where:

$a = 2p\\b = 9$

So, we have:

$(2p + 9) ^ 2$

Answer:

Option b