What is the factored form of n2 – 25?
Mathematics · High School · Mon Jan 18 2021
Answered on
Given:
n^2 -25
Determine its factored form.
Solution:
In order to determine the factored form of the given, we simply transpose -25 on the other side of the equation, hence it must be taken to note, that in transposing a number, the sign changes.
n^2 - 25 = 0
n^2 = 25
Now we need to take the square root of both sides in order to determine the value of n, to do so we enclose both sides by a square root sign or we can either raise both sides to ½.
(n^2)^½ = (25)^½
n = ±5
n = 5
n = -5
We can equate it in factored form as,
= (n + 5) (n - 5)
Final answer:
= (n + 5) (n - 5)