x²+7x+6/x+1

Answer 1

To simplify the expression (x² + 7x + 6) / (x + 1), we need to factor the numerator and then cancel out any common factors with the denominator.

The numerator can be factored into (x + 6)(x + 1), so the expression becomes ((x + 6)(x + 1)) / (x + 1).

Now we can cancel out the common factor of (x + 1) in the numerator and denominator, which gives us the simplified expression x + 6.

Therefore, the simplified form of (x² + 7x + 6) / (x + 1) is x + 6.