Simplify quantity x squared plus 3 x plus 2 end quantity over quantity x plus 1

After factorizing the equation on the numerator, we simplify and the answer is: x + 2

Step-by-step explanation:

1. Let's simplify the following expression:

x squared plus 3 x plus 2 over x plus 1

(x ² + 3x + 2) / (x + 1)

Now, we are going to factorize the numerator, this way:

(x + 2) (x + 1) / ((x + 1)

x * x = x ²; 2x + x = 3x; 2 * 1 = 2 ⇒ x² + 3x + 2

We simplify (x + 1) both in the numerator and in the denominator and we have:

x + 2