Question

Factor completely.

4p²+36p+81
Question 3 options:

(2p−9)2

(2p+9)2

(4p+6)2

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