Question

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)

Answer 1

Answer:

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

Step-by-step explanation:

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

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

Answer 2

Answer:

$(n+5)(n-5)$

Step-by-step explanation:

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

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