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