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Maksim231197 [3]
4 years ago
11

Factor the expression completely.

Mathematics
1 answer:
navik [9.2K]4 years ago
4 0

Answer:

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

Step-by-step 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)

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