X-1/x+2×x+3/x^2+6x+5 ?

To simplify the expression, we can start by factoring the denominators:

x^2 + 6x + 5 = (x + 1)(x + 5)

Now, we can rewrite the expression as:

(X - 1)/(x) + 2(x + 3)/(x + 1)(x + 5)

To add the fractions, we need a common denominator. In this case, the common denominator is (x)(x + 1)(x + 5). So, we can rewrite the expression as:

[(x + 5)(X - 1) + 2(x)(x + 3)] / (x)(x + 1)(x + 5)

Expanding and simplifying the numerator:

(x + 5)(X - 1) + 2(x)(x + 3) = x^2 + 4x + 5

Therefore, the simplified expression is:

(x^2 + 4x + 5) / (x)(x + 1)(x + 5)