Question

PLEASE HELP!!!!!!
it’s a division equation

Answer 1

x+1

DOMAIN: x
`\\eq` -5

Explanation:

We can factor
`x^(2)`+6x+5 as (x+1)(x+5) since this expands to
`x^(2)`+5*x+1*x+5*1, which is
`x^(2)`+6x+5.

Now, we have:

`((x+1)(x+5))/((x+5))`

We can cancel out x+5, because this expression is the same as (x+1)*
`(x+5)/(x+5)`, which is (x+1).

HOWEVER, the denominator cannot be equal to zero because that will make the expression undefined (you can't divide by zero). So, since x+5
`\\eq`0, x
`\\eq`-5.

Answer 2

The answer is x + 1, because the numerator factored is (x+5)(x+1). Because of this, the x+5 on the denominator cancels out. This leaves the x+1, making it the answer.