x²+4x+3/x+1

Answer 1

To simplify the expression x² + 4x + 3 / x + 1, first factor the numerator:

x² + 4x + 3 = (x + 3)(x + 1)

Now rewrite the expression with the factored numerator:

(x + 3)(x + 1) / x + 1

Next, cancel out the common factor of (x + 1) in the numerator and denominator:

= (x + 3) / 1

Therefore, the simplified expression is x + 3 / 1, which simplifies to x + 3.