Find the sum of terms? x+3 3x+6 4x+6 4x+2. Created by bm42400. mathematics-us

Answer:2(2x+3)Step-by-step explanation:x/(x²+3x+2) + 3/(x+1)The L.C.M will be x² + 3x + 2Factorizing 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)

Find the sum of terms? x+3 3x+6 4x+6 4x+2

2
38 Views
All levels

bm42400

High School

Report

Find the sum of terms?

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

Leave an answer

Our People Answers

1

(Based on todays review)

jamuuj

Verified answer

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)
- 0
- 1
- Reply
- Report

zainebamir540

Verified answer

Answer:
Choice C is correct.
Step-by-step explanation:
We have given the expression :
$\frac{x}{x^{2} +3x+2} + \frac{3}{x+1}$
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).
- 5
- 1
- Reply
- Report