x-1       x
————— + ——————
  x³     x²+1
 

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
 

 x-1       x
————— + ——————
  x³     x²+1

The LCD is x³(x²+1), so we multiply each
fraction by whichever factor of the LCD its
denominator is lacking, over itself.

The first fraction's denominator lacks the 
factor x²+1 and the second fraction's 
denominator lacks the factor x³, so we put 
the missing factors over themselves and 
multiply, so that the denominators will both
become the LCD.

 x-1     x²+1      x       x³
————— · —————— + —————— · ————
 x³      x²+1     x²+1     x³



(x-1)(x²+1)     (x)(x³)
——————————— + ———————————— 
  x³(x²+1)     (x²+1)(x³)

 x³+x-x²-1        x4
——————————— + ———————————— 
  x³(x²+1)     (x²+1)(x³)

 x³+x-x²-1+x4
—————————————— 
   x³(x²+1) 

 x4+x³-x²+x-1
—————————————— 
   x³(x²+1)

Edwin
 

RELATED QUESTIONS

Combine 



4         
---       -   x^(1/3)
x^(2/3)... (answered by jim_thompson5910)


   x        3               
—————— = - ———
 2x-1... (answered by Edwin McCravy)

Solve for x:

   1         1          22
——————— + ——————— = —————————
 x - 4     (answered by AnlytcPhil)

find x give answer in simpilest form

             
| \
             
|45\
    (answered by Alan3354)

Simplify:

        
        ((x^(3/2))y^-3)^1/3
        --------------------
    (answered by jim_thompson5910)

Graph the following set on a number line: (x|x < -1) 
                             (answered by jim_thompson5910)

I need help finding the LCM for:

2x² + 5x + 2, 2x² - x -... (answered by AnlytcPhil)

Combine the rational expressions:

x + 2     x - 4   8(x + 1)
—————  +  ————— +  (answered by Edwin McCravy)

	        1	1       1
Show that       x	y       z      = (y - x)(z-x)(z-y)
	         (answered by Edwin McCravy)