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How do you (36x-6)/(36x^2-12x+1) in partial fractions?

You have entered [src]

    36*x - 6    
----------------
    2           
36*x  - 12*x + 1

$$\frac{36 x - 6}{\left(36 x^{2} - 12 x\right) + 1}$$

(36*x - 6)/(36*x^2 - 12*x + 1)

Fraction decomposition [src]

6/(-1 + 6*x)

$$\frac{6}{6 x - 1}$$

   6    
--------
-1 + 6*x

General simplification [src]

   6    
--------
-1 + 6*x

$$\frac{6}{6 x - 1}$$

6/(-1 + 6*x)

Trigonometric part [src]

   -6 + 36*x    
----------------
               2
1 - 12*x + 36*x

$$\frac{36 x - 6}{36 x^{2} - 12 x + 1}$$

(-6 + 36*x)/(1 - 12*x + 36*x^2)

Numerical answer [src]

(-6.0 + 36.0*x)/(1.0 + 36.0*x^2 - 12.0*x)

(-6.0 + 36.0*x)/(1.0 + 36.0*x^2 - 12.0*x)

Combining rational expressions [src]

    6*(-1 + 6*x)   
-------------------
1 + 12*x*(-1 + 3*x)

$$\frac{6 \left(6 x - 1\right)}{12 x \left(3 x - 1\right) + 1}$$

6*(-1 + 6*x)/(1 + 12*x*(-1 + 3*x))

Common denominator [src]

   6    
--------
-1 + 6*x

$$\frac{6}{6 x - 1}$$

6/(-1 + 6*x)

Combinatorics [src]

   6    
--------
-1 + 6*x

$$\frac{6}{6 x - 1}$$

6/(-1 + 6*x)

Rational denominator [src]

   -6 + 36*x    
----------------
               2
1 - 12*x + 36*x

$$\frac{36 x - 6}{36 x^{2} - 12 x + 1}$$

(-6 + 36*x)/(1 - 12*x + 36*x^2)

Powers [src]

   -6 + 36*x    
----------------
               2
1 - 12*x + 36*x

$$\frac{36 x - 6}{36 x^{2} - 12 x + 1}$$

(-6 + 36*x)/(1 - 12*x + 36*x^2)

Assemble expression [src]

   -6 + 36*x    
----------------
               2
1 - 12*x + 36*x

$$\frac{36 x - 6}{36 x^{2} - 12 x + 1}$$

(-6 + 36*x)/(1 - 12*x + 36*x^2)