Question

1. Simplify and state any excluded values
`(c-5)/(c^2-25)`.

Answer 1

For this case we have the following expression:

`(c-5)/(c^2-5)`

To simplify the expression, the first thing to do is factor the denominator.

We have then:

`(c-5)/((c-5)(c+5))`

Then, canceling similar terms we have:

`(1)/((c+5))`

From here, we must find any value that should be excluded from the expression.

We must exclude values of c that make the denominator equal to zero.

We have then:

`image`

Answer:

The simplified expression is:

`(1)/((c+5))`

The value to be excluded from the expression is:

`c=-5`

Answer 2

`(c-5)/(c^2-25)\\\\use:\ a^2-b^2=(a-b)(a+b)\\\\=(c-5)/((c-5)(c+5))=(1)/(c+5)`