[imath]\dfrac{2a - b}{3a - b} + \dfrac{5b - a}{3a + b} =\dfrac{(2a-b)(3a+b)+(5b-a)(3a-b)}{(3a-b)(3a+b)}[/imath]
[imath]= \dfrac{3a^2 - 6b^2 + 15ab}{9a^2 - b^2} [/imath]
[imath]= \dfrac{3(a^2 - 2b^2 + 5ab)}{9a^2 - b^2} [/imath]
[imath]= \dfrac{3(10a^2 - 3b^2 + 5ab - 9a^2 + b^2)}{9a^2 - b^2}[/imath]
[imath]= \dfrac{3(-9a^2 + b^2)}{9a^2 - b^2} [/imath]
[imath]=- 3[/imath]