Question

Find the sum of terms?

x+3
3x+6
4x+6
4x+2

Answer 1

Choice C is correct.

Explanation:

We have given the expression :

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

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).

Answer 2

2(2x+3)

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)