Factor the expression completely. 4n2 + 28n +49 . (2n + 7) (2n +7) (2n + 7) (2n - 7) (2n – 7) 4n (n + 7) + 49 NEXT QUESTION ASK FOR HELP

Question

asked Jan 26, 2021 209k views

1 Answer

Torinthiel · Answer 1 · 2021-01-30T12:48:13+0000

Answer:

(2n + 7) (2n +7)

Explanation:

To solve this problem we need to factorize 4n^2 + 28n +49 as shown below

$4n^2 + 28n +49\\=>4n^2 + 14n + 14n +49\\=>2n(2n + 7) + 7(2n +7)\\=> (2n + 7) (2n +7)$

thus, after factorization we see that first option is correct one

(2n + 7) (2n +7)

we can validate this by expanding it

2n (2n +7) + 7 (2n+7)\

=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)