Question

HELP NEEDED!!! WILL MARK BRAINLIEST!!!

Answer 1

Answer:

$x(x + 1)$

Step-by-step explanation:

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

Make denominators same:

$\frac{2x + 1}{ \frac{x + 1}{x(x + 1)} + \frac{x}{(x + 1)} }$

Add the numerators:

$\frac{2x + 1}{ \frac{x + 1 + x}{x(x + 1)} }$

$\frac{2x + 1}{\frac{2x + 1}{x(x + 1)} }$

Apply the rule:

$\frac{a}{ \frac{b}{c} } = \frac{a \times c}{b}$

Therefore,

$\frac{(2x + 1)\times x(x + 1))}{2x + 1}$

Cancel out common factor of 2x+1:

$x(x + 1)$