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15 votes
What is the factored form of n^2-25?

(n-25)(n-1)
(n-5)(n + 5)
(n + 5)(n+ 5)
(n-25)(n + 1)

2 Answers

4 votes

Answer:

B) (n - 5)(n+ 5)

Explanation:

Recall the difference of squares formula:
a^2-b^2=(a-b)(a+b)

Thus:
n^2-25=n^2-5^2=(n-5)(n+5)

User Agoldencom
by
8.3k points
5 votes

Answer:


(n+5)(n-5)

Explanation:

Apply Difference of Two Squares Formula:
x^2-y^2=\left(x+y\right)\left(x-y\right)


\implies n^2-25=(n+5)(n-5)

User Chad Levy
by
6.7k points

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