# How do you add #\frac { x - 4} { 2x ^ { 2} + 9x - 5} + \frac { x + 3} { x ^ { 2} + 5x }#?

##### 1 Answer

Dec 7, 2016

#### Explanation:

Factor the denominators to discover the least common denominator (LCD).

Therefore, the LCD is

#=>(x(x- 4))/((x)(x+ 5)(2x- 1)) + ((x+ 3)(2x- 1))/((x)(x + 5)(2x- 1))#

#=>(x^2 -4x + 2x^2 + 6x- x - 3)/((x)(x+ 5)(2x - 1))#

#=>(3x^2 + x - 3)/((x)(x + 5)(2x- 1))#

Hopefully this helps!