Respuesta :

Answer:

2(2x+3)

Step-by-step explanation:

x/(x²+3x+2) + 3/(x+1)

The L.C.M  will be x² + 3x + 2

Factorizing x² + 3x + 2

= (x+2)(x+1)

Therefore;

= (x(1) + 3(x+2) )/(x+2)(x+1)

= (x +3x+6)/(x+2)(x+1)

= (4x+6)/(x+2)(x+1)

= 2(2x+3)/(x+2)(x+1)

The numerator of the simplified sum will be 2(2x+3)

zainebamir540

Answer:

Choice C is correct.

Step-by-step explanation:

We have given the expression :

[tex]\frac{x}{x^{2} +3x+2} + \frac{3}{x+1}[/tex]

We have to find the sum of terms.

First, we have to find the LCM of the expression.

The LCM is x²+3x+2

The factorization of this  term is :

(x+2)(x+1)

(x)+(3)(x+2)/(x+2)(x+1)

(x+3x+6)/(x+2)(x+1)

(4x+6)/(x+2)(x+1)

The nominator of simplified sum  is (4x+6).

Otras preguntas