Question

7/2x+1 + 4/4x+2, x≠-1/2

Answer 1

Step-by-step explanation:

$\frac{7}{2x + 1} + \frac{4}{4x + 2}$

$=\frac{7(4x + 2) + 4(2x + 1)}{(2x + 1)(4x + 2)}$

$= \frac{28x + 14 + 8x + 4}{(2x + 1)(4x + 2)}$

$=\frac{36x + 18}{(2x + 1)(4x + 2)}$

$=\frac{9(4x + 2)}{(2x + 1)(4x + 2)}$

$=\frac{9}{2x + 1}$