How do you factor 4a^2 + 20a + 25?

1 Answer
Jim H
Jun 26, 2015

It is a perfect square trinomial:
4a^2+20a+25 = (2a+5)^2

Explanation:

The first term is the square of 2a

The last term is the square of 5

Multiplt those two, then doubles the number. Is that the middle term? If yes, then it is a perfect square.

2a xx 5 = 10a. Now double that (multiply by 2): 2 xx 10a = 20a Yes, that is the middle term on the original expression, so it is a perfect square,

Related questions
See all questions in Factoring Completely
Impact of this question
5312 views around the world
You can reuse this answer
Creative Commons License