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

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)`

Answer 2

`(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)`