Question

Please help!!! Brainliest for whoever is right! What is the sum of the rational expressions below?

Answer 1

Answer:

$\frac{5 {x}^{2} + 5x + 3 }{3 {x}^{2} + 3x}$

Step-by-step explanation:

$\frac{2x + 3}{3x} + \frac{x}{ x + 1}$

Write all the numerators above the least common denominator

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

Multiply the parentheses

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

Distribute 3x through the parentheses

$\frac{2 {x}^{2} + 3x + 2x + 3 + 3 {x}^{2} }{3 {x}^{2} + 3x}$

Collect like terms$=\frac{5 {x}^{2} + 5x + 3 }{3 {x}^{2} + 3 x}$

Hope this helps...

Good luck on your assignment...