Question

Adding and subtracting rational expression

What is the sun if the rational expressions

2x+3/3X + x/x+1
A. 2x^2+3
3x^2+3x

B. 3x+3
4x+1

C. 5x^2+5x+3
3x^2+3x

D. 3x^2+2x+4
4x+1

Answer 1

Answer:

C

Step-by-step explanation:

Use cross multiplication method to find the answer:

$\frac{2x+3}{3x} +\frac{x}{x+1} = \frac{(2x^2+5x+3) + (3x^2)}{2x^2+3x} = \frac{5x^2+5x+3}{3x^2+3x}$