Question

If x>3, which of the following is equivalent to 1/x+2+x+3

Answer 1

Answer:

$\frac{x {}^{2} + 5x + 6 }{2x + 5}$

Step-by-step explanation:

given:

$= \frac{1}{ \frac{1}{ x + 2} + \frac{1}{x + 3} } \\ = \frac{1}{ \frac{x + 3 + x + 2}{(x + 2)(x + 3)} } \\ = \frac{1}{ \frac{2x + 5}{x {}^{2} + 5x + 6 } } \\ = \frac{x {}^{2} + 5x + 6 }{2x + 5}$