Answer:
[tex] \dfrac{5x^2 + 5x + 3}{3x^2 + 3x} [/tex]
Step-by-step explanation:
[tex] \dfrac{2x + 3}{3x} + \dfrac{x}{x + 1} = [/tex]
[tex] = \dfrac{(x + 1)(2x + 3)}{(x + 1)(3x)} + \dfrac{(3x)(x)}{(3x)(x + 1)} [/tex]
[tex] = \dfrac{2x^2 + 3x + 2x + 3}{3x^2 + 3x} + \dfrac{3x^2}{3x^2 + 3x} [/tex]
[tex] = \dfrac{2x^2 + 5x + 3 + 3x^2}{3x^2 + 3x} [/tex]
[tex] = \dfrac{5x^2 + 5x + 3}{3x^2 + 3x} [/tex]
