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How do you in partial fractions?:
y/(4*y+16)+(y^2+16)/(4*y^2-64)
(9(a-3)/(15-7a-4a^2))*((4a^2-17a+15)/(a-2))
(1-6*exp(-x)/(1+exp(-x))+6*exp(-2*x)/(1+exp(-x))^2)*exp(-x)/(1+exp(-x))^2
-x^2+(15*x)/(x+2)
Least common denominator:
(x-7)/x2-14*x+49/x+7
(x+7)^2/2-(x^2+5*x)/3-6-(5*x+11)^2/4
(x^4+x^3-4*x^2+8*x-8)/(1/2+sqrt(7)/2)
(x^4*atan(x))/4-(atan(x)+(x^3-3*x)/3)/4
Identical expressions
one hundred and fifty *(- two + five *(one + two *x)/(- three + five *x))/(- three + five *x)^ three
150 multiply by ( minus 2 plus 5 multiply by (1 plus 2 multiply by x) divide by ( minus 3 plus 5 multiply by x)) divide by ( minus 3 plus 5 multiply by x) cubed
one hundred and fifty multiply by ( minus two plus five multiply by (one plus two multiply by x) divide by ( minus three plus five multiply by x)) divide by ( minus three plus five multiply by x) to the power of three
150*(-2+5*(1+2*x)/(-3+5*x))/(-3+5*x)3
150*-2+5*1+2*x/-3+5*x/-3+5*x3
150*(-2+5*(1+2*x)/(-3+5*x))/(-3+5*x)³
150*(-2+5*(1+2*x)/(-3+5*x))/(-3+5*x) to the power of 3
150(-2+5(1+2x)/(-3+5x))/(-3+5x)^3
150(-2+5(1+2x)/(-3+5x))/(-3+5x)3
150-2+51+2x/-3+5x/-3+5x3
150-2+51+2x/-3+5x/-3+5x^3
150*(-2+5*(1+2*x) divide by (-3+5*x)) divide by (-3+5*x)^3
Similar expressions
150*(-2-5*(1+2*x)/(-3+5*x))/(-3+5*x)^3
150*(-2+5*(1+2*x)/(-3+5*x))/(-3-5*x)^3
150*(-2+5*(1-2*x)/(-3+5*x))/(-3+5*x)^3
150*(-2+5*(1+2*x)/(3+5*x))/(-3+5*x)^3
150*(-2+5*(1+2*x)/(-3-5*x))/(-3+5*x)^3
150*(-2+5*(1+2*x)/(-3+5*x))/(3+5*x)^3
150*(2+5*(1+2*x)/(-3+5*x))/(-3+5*x)^3

Expression simplification/ Fraction Decomposition into the simple/ 150*(-2+5*(1+2*x)/(-3+5*x))/(-3+5*x)^3

How do you 150(-2+5(1+2x)/(-3+5x))/(-3+5*x)^3 in partial fractions?

The solution

You have entered [src]

    /     5*(1 + 2*x)\
150*|-2 + -----------|
    \       -3 + 5*x /
----------------------
               3      
     (-3 + 5*x)

$$\frac{150 \left(-2 + \frac{5 \left(2 x + 1\right)}{5 x - 3}\right)}{\left(5 x - 3\right)^{3}}$$

(150*(-2 + (5*(1 + 2*x))/(-3 + 5*x)))/(-3 + 5*x)^3

General simplification [src]

    1650   
-----------
          4
(-3 + 5*x)

$$\frac{1650}{\left(5 x - 3\right)^{4}}$$

1650/(-3 + 5*x)^4

Fraction decomposition [src]

1650/(-3 + 5*x)^4

$$\frac{1650}{\left(5 x - 3\right)^{4}}$$

    1650   
-----------
          4
(-3 + 5*x)

Numerical answer [src]

0.008*(-300.0 + 150.0*(5.0 + 10.0*x)/(-3.0 + 5.0*x))/(-0.6 + x)^3

0.008*(-300.0 + 150.0*(5.0 + 10.0*x)/(-3.0 + 5.0*x))/(-0.6 + x)^3

Assemble expression [src]

       150*(5 + 10*x)
-300 + --------------
          -3 + 5*x   
---------------------
               3     
     (-3 + 5*x)

$$\frac{-300 + \frac{150 \left(10 x + 5\right)}{5 x - 3}}{\left(5 x - 3\right)^{3}}$$

(-300 + 150*(5 + 10*x)/(-3 + 5*x))/(-3 + 5*x)^3

Trigonometric part [src]

       150*(5 + 10*x)
-300 + --------------
          -3 + 5*x   
---------------------
               3     
     (-3 + 5*x)

$$\frac{-300 + \frac{150 \left(10 x + 5\right)}{5 x - 3}}{\left(5 x - 3\right)^{3}}$$

(-300 + 150*(5 + 10*x)/(-3 + 5*x))/(-3 + 5*x)^3

Rational denominator [src]

    1650   
-----------
          4
(-3 + 5*x)

$$\frac{1650}{\left(5 x - 3\right)^{4}}$$

1650/(-3 + 5*x)^4

Powers [src]

       150*(5 + 10*x)
-300 + --------------
          -3 + 5*x   
---------------------
               3     
     (-3 + 5*x)

$$\frac{-300 + \frac{150 \left(10 x + 5\right)}{5 x - 3}}{\left(5 x - 3\right)^{3}}$$

       750 + 1500*x
-300 + ------------
         -3 + 5*x  
-------------------
              3    
    (-3 + 5*x)

$$\frac{-300 + \frac{1500 x + 750}{5 x - 3}}{\left(5 x - 3\right)^{3}}$$

(-300 + (750 + 1500*x)/(-3 + 5*x))/(-3 + 5*x)^3

Combinatorics [src]

    1650   
-----------
          4
(-3 + 5*x)

$$\frac{1650}{\left(5 x - 3\right)^{4}}$$

1650/(-3 + 5*x)^4

Common denominator [src]

                  1650                 
---------------------------------------
           3                4         2
81 - 1500*x  - 540*x + 625*x  + 1350*x

$$\frac{1650}{625 x^{4} - 1500 x^{3} + 1350 x^{2} - 540 x + 81}$$

1650/(81 - 1500*x^3 - 540*x + 625*x^4 + 1350*x^2)

Combining rational expressions [src]

    1650   
-----------
          4
(-3 + 5*x)

$$\frac{1650}{\left(5 x - 3\right)^{4}}$$

1650/(-3 + 5*x)^4

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Similar expressions

How do you 150*(-2+5*(1+2*x)/(-3+5*x))/(-3+5*x)^3 in partial fractions?

The solution

How do you 150(-2+5(1+2x)/(-3+5x))/(-3+5*x)^3 in partial fractions?