Step-by-step explanation:
[tex] \frac{7}{2x + 1} + \frac{4}{4x + 2}[/tex]
[tex] =\frac{7(4x + 2) + 4(2x + 1)}{(2x + 1)(4x + 2)}[/tex]
[tex]= \frac{28x + 14 + 8x + 4}{(2x + 1)(4x + 2)}[/tex]
[tex]=\frac{36x + 18}{(2x + 1)(4x + 2)} [/tex]
[tex]=\frac{9(4x + 2)}{(2x + 1)(4x + 2)}[/tex]
[tex]=\frac{9}{2x + 1}[/tex]
