Respuesta :

n²-25 = n²-5² = (n+5)(n-5)

Answer:

The factor form of: [tex]n^2-25[/tex] is:

                 [tex](n-5)(n+5)[/tex]

Step-by-step explanation:

Factor form--

It means that the expression is represented by factoring the expression.

i.e. we find out the roots of the expression and then express it as a product of it's linear factors.

The expression is given by:

[tex]n^2-25[/tex]

We know that any expression of the form:

[tex]a^2-b^2[/tex] could be written in the form:

[tex]a^2-b^2=(a-b)(a+b)[/tex]

Here we have:

[tex]n^2-25=n^2-5^2\\\\i.e.\\\\n^2-25=(n-5)(n+5)[/tex]

               Hence, the answer is:

               [tex]n^2-25=(n-5)(n+5)[/tex]