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How do you in partial fractions?:
(x^2+3*x-4)/(x+4)
(x^2-6*x-9)/(x-3)
5*((x-4)/(x^2+4*x)-16/(16-x^2))/(1+4/x)
(x^2-8*x+16)/(x-4)
Factor polynomial:
m^3+n^3
x+x^2
x^2+y^2
x^5+x+1
Least common denominator:
z/t-t/z
((z+p)/(2*(z-p)))-((z-p)/(2*(z+p)))-((p)/(z-p))
(z/b+b/z)/z2+b2/6*z10*b
(z-a)/(5*z-2*a)-(z-4*a)/(z)
Factor squared:
-y^4+y^2+11
y^4+9*y^2+8
-y^4-9*y^2+7
y^4+9*y^2-6
Identical expressions
five *((x- four)/(x^ two + four *x)- sixteen /(sixteen -x^ two))/(one + four /x)
5 multiply by ((x minus 4) divide by (x squared plus 4 multiply by x) minus 16 divide by (16 minus x squared )) divide by (1 plus 4 divide by x)
five multiply by ((x minus four) divide by (x to the power of two plus four multiply by x) minus sixteen divide by (sixteen minus x to the power of two)) divide by (one plus four divide by x)
5*((x-4)/(x2+4*x)-16/(16-x2))/(1+4/x)
5*x-4/x2+4*x-16/16-x2/1+4/x
5*((x-4)/(x²+4*x)-16/(16-x²))/(1+4/x)
5*((x-4)/(x to the power of 2+4*x)-16/(16-x to the power of 2))/(1+4/x)
5((x-4)/(x^2+4x)-16/(16-x^2))/(1+4/x)
5((x-4)/(x2+4x)-16/(16-x2))/(1+4/x)
5x-4/x2+4x-16/16-x2/1+4/x
5x-4/x^2+4x-16/16-x^2/1+4/x
5*((x-4) divide by (x^2+4*x)-16 divide by (16-x^2)) divide by (1+4 divide by x)
Similar expressions
5*((x-4)/(x^2+4*x)+16/(16-x^2))/(1+4/x)
5*((x+4)/(x^2+4*x)-16/(16-x^2))/(1+4/x)
5*((x-4)/(x^2-4*x)-16/(16-x^2))/(1+4/x)
5*((x-4)/(x^2+4*x)-16/(16+x^2))/(1+4/x)
5*((x-4)/(x^2+4*x)-16/(16-x^2))/(1-4/x)

Expression simplification/ Fraction Decomposition into the simple/ 5*((x-4)/(x^2+4*x)-16/(16-x^2))/(1+4/x)

How do you 5((x-4)/(x^2+4x)-16/(16-x^2))/(1+4/x) in partial fractions?

The solution

You have entered [src]

  / x - 4        16  \
5*|-------- - -------|
  | 2               2|
  \x  + 4*x   16 - x /
----------------------
            4         
        1 + -         
            x

$$\frac{5 \left(\frac{x - 4}{x^{2} + 4 x} - \frac{16}{16 - x^{2}}\right)}{1 + \frac{4}{x}}$$

(5*((x - 4)/(x^2 + 4*x) - 16/(16 - x^2)))/(1 + 4/x)

General simplification [src]

  5   
------
-4 + x

$$\frac{5}{x - 4}$$

5/(-4 + x)

Fraction decomposition [src]

5/(-4 + x)

$$\frac{5}{x - 4}$$

  5   
------
-4 + x

Rational denominator [src]

  /             2              /      2\\
x*\-320*x - 80*x  + 5*(-4 + x)*\16 - x //
-----------------------------------------
               /      2\ / 2      \      
       (4 + x)*\16 - x /*\x  + 4*x/

$$\frac{x \left(- 80 x^{2} - 320 x + 5 \left(16 - x^{2}\right) \left(x - 4\right)\right)}{\left(16 - x^{2}\right) \left(x + 4\right) \left(x^{2} + 4 x\right)}$$

x*(-320*x - 80*x^2 + 5*(-4 + x)*(16 - x^2))/((4 + x)*(16 - x^2)*(x^2 + 4*x))

Common denominator [src]

  5   
------
-4 + x

$$\frac{5}{x - 4}$$

5/(-4 + x)

Assemble expression [src]

     80     5*(-4 + x)
- ------- + ----------
        2     2       
  16 - x     x  + 4*x 
----------------------
            4         
        1 + -         
            x

$$\frac{\frac{5 \left(x - 4\right)}{x^{2} + 4 x} - \frac{80}{16 - x^{2}}}{1 + \frac{4}{x}}$$

(-80/(16 - x^2) + 5*(-4 + x)/(x^2 + 4*x))/(1 + 4/x)

Trigonometric part [src]

     80     5*(-4 + x)
- ------- + ----------
        2     2       
  16 - x     x  + 4*x 
----------------------
            4         
        1 + -         
            x

$$\frac{\frac{5 \left(x - 4\right)}{x^{2} + 4 x} - \frac{80}{16 - x^{2}}}{1 + \frac{4}{x}}$$

(-80/(16 - x^2) + 5*(-4 + x)/(x^2 + 4*x))/(1 + 4/x)

Combining rational expressions [src]

  /         /      2\               \
5*\(-4 + x)*\16 - x / - 16*x*(4 + x)/
-------------------------------------
                 2 /      2\         
          (4 + x) *\16 - x /

$$\frac{5 \left(- 16 x \left(x + 4\right) + \left(16 - x^{2}\right) \left(x - 4\right)\right)}{\left(16 - x^{2}\right) \left(x + 4\right)^{2}}$$

5*((-4 + x)*(16 - x^2) - 16*x*(4 + x))/((4 + x)^2*(16 - x^2))

Numerical answer [src]

(-80.0/(16.0 - x^2) + 5.0*(-4.0 + x)/(x^2 + 4.0*x))/(1.0 + 4.0/x)

(-80.0/(16.0 - x^2) + 5.0*(-4.0 + x)/(x^2 + 4.0*x))/(1.0 + 4.0/x)

Powers [src]

     80     5*(-4 + x)
- ------- + ----------
        2     2       
  16 - x     x  + 4*x 
----------------------
            4         
        1 + -         
            x

$$\frac{\frac{5 \left(x - 4\right)}{x^{2} + 4 x} - \frac{80}{16 - x^{2}}}{1 + \frac{4}{x}}$$

     80     -20 + 5*x
- ------- + ---------
        2     2      
  16 - x     x  + 4*x
---------------------
            4        
        1 + -        
            x

$$\frac{\frac{5 x - 20}{x^{2} + 4 x} - \frac{80}{16 - x^{2}}}{1 + \frac{4}{x}}$$

(-80/(16 - x^2) + (-20 + 5*x)/(x^2 + 4*x))/(1 + 4/x)

Combinatorics [src]

  5   
------
-4 + x

$$\frac{5}{x - 4}$$

5/(-4 + x)

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Identical expressions

Similar expressions

How do you 5*((x-4)/(x^2+4*x)-16/(16-x^2))/(1+4/x) in partial fractions?

The solution

How do you 5((x-4)/(x^2+4x)-16/(16-x^2))/(1+4/x) in partial fractions?