Simplify. x+5/x^2+6x+5
1/x+1; where x ≠ -1
1/x+1; where x ≠ -1, -5
1/x-5; where x ≠ 5
x-5

The correct option is 2.

Step-by-step explanation:

The given rational expression is

Factorize the denominator.

The middle term can be written as 5x+x.

Cancel out the common factors.

The simplified form of the given expression is . The factors of the denominator are (x+5) and (x+1), it means at x=-5 and x=-1, the value of denominator is zero.

The given expression is not defined for x=-1 and x=-5.

Therefore the correct option is 2.

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step-by-step explanation:

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step-by-step explanation: