Question

How do you simplify `(4x)/(x²+2x) + (2x)/(x²+2x)`?

Answer 1

`color(brown)(=> 6 / (x + 2)`

Explanation:

`(4x) / (x^2 + 2x) + (2x )/ (x^2 + 2x)`

Since the denominator is common in both the terms, L C M is the same as the denominator.

`:.=> (4x + 2x) / (x^2 + 2x)`

`=> (6cancel(x)) / (cancelx * (x + 2))`

`color(brown)(=> 6 / (x + 2)`