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Expression simplification/ Fraction Decomposition into the simple/ (x^2+2*x-15)/(x-3)

How do you (x^2+2*x-15)/(x-3) in partial fractions?

An expression to simplify:

The solution

You have entered [src] 
 2           
x  + 2*x - 15
-------------
    x - 3
$$\frac{\left(x^{2} + 2 x\right) - 15}{x - 3}$$ 
(x^2 + 2*x - 15)/(x - 3)
General simplification [src] 
5 + x
$$x + 5$$ 
5 + x
Fraction decomposition [src] 
5 + x
$$x + 5$$ 
5 + x
Numerical answer [src] 
(-15.0 + x^2 + 2.0*x)/(-3.0 + x)
(-15.0 + x^2 + 2.0*x)/(-3.0 + x)
Common denominator [src] 
5 + x
$$x + 5$$ 
5 + x
Assemble expression [src] 
       2      
-15 + x  + 2*x
--------------
    -3 + x
$$\frac{x^{2} + 2 x - 15}{x - 3}$$ 
(-15 + x^2 + 2*x)/(-3 + x)
Trigonometric part [src] 
       2      
-15 + x  + 2*x
--------------
    -3 + x
$$\frac{x^{2} + 2 x - 15}{x - 3}$$ 
(-15 + x^2 + 2*x)/(-3 + x)
Powers [src] 
       2      
-15 + x  + 2*x
--------------
    -3 + x
$$\frac{x^{2} + 2 x - 15}{x - 3}$$ 
(-15 + x^2 + 2*x)/(-3 + x)
Combining rational expressions [src] 
-15 + x*(2 + x)
---------------
     -3 + x
$$\frac{x \left(x + 2\right) - 15}{x - 3}$$ 
(-15 + x*(2 + x))/(-3 + x)
Combinatorics [src] 
5 + x
$$x + 5$$ 
5 + x
Rational denominator [src] 
       2      
-15 + x  + 2*x
--------------
    -3 + x
$$\frac{x^{2} + 2 x - 15}{x - 3}$$ 
(-15 + x^2 + 2*x)/(-3 + x)
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