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How do you in partial fractions?:
150/(1+150*((15*150)/(151*(1/10p+1))+(15/(260*(5p^2+p)))))
((9*b)/(a-b))*((a^2-a*b)/(54*b))
(z/(z+6)*(z+6))-(z/(z-6)*(z+6))
(2x+3)/(x^2-9)
Factor polynomial:
x^2+x-2
x^4+x^3
y^3-y
y^2-100
Least common denominator:
((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))
a/(a+b)+a^2/(b^2-a^2)
z-2/4*z^2+16*z+16/(z/2*z-4-z^2+4/2*z^2-8-2/z^2+2*z)
sqrt(a)-(a-1/a^2)/(sqrt(a)-1/sqrt(a))+(1-1/a^2)/(sqrt(a)+1/(sqrt(a)))+2/a^(3/2)
Factor squared:
y^4+9*y^2-5
-y^4-8*y^2-8
-y^2-2*y*b+b^2
x^2-x-6
Identical expressions
(a^ two - nine)/(fifteen + five *a)
(a squared minus 9) divide by (15 plus 5 multiply by a)
(a to the power of two minus nine) divide by (fifteen plus five multiply by a)
(a2-9)/(15+5*a)
a2-9/15+5*a
(a²-9)/(15+5*a)
(a to the power of 2-9)/(15+5*a)
(a^2-9)/(15+5a)
(a2-9)/(15+5a)
a2-9/15+5a
a^2-9/15+5a
(a^2-9) divide by (15+5*a)
Similar expressions
(a^2+9)/(15+5*a)
(a^2-9)/(15-5*a)

Expression simplification/ Fraction Decomposition into the simple/ (a^2-9)/(15+5*a)

How do you (a^2-9)/(15+5*a) in partial fractions?

The solution

You have entered [src]

  2     
 a  - 9 
--------
15 + 5*a

$$\frac{a^{2} - 9}{5 a + 15}$$

(a^2 - 9)/(15 + 5*a)

Fraction decomposition [src]

-3/5 + a/5

$$\frac{a}{5} - \frac{3}{5}$$

  3   a
- - + -
  5   5

General simplification [src]

  3   a
- - + -
  5   5

$$\frac{a}{5} - \frac{3}{5}$$

-3/5 + a/5

Common denominator [src]

  3   a
- - + -
  5   5

$$\frac{a}{5} - \frac{3}{5}$$

-3/5 + a/5

Numerical answer [src]

(-9.0 + a^2)/(15.0 + 5.0*a)

(-9.0 + a^2)/(15.0 + 5.0*a)

Combining rational expressions [src]

       2 
 -9 + a  
---------
5*(3 + a)

$$\frac{a^{2} - 9}{5 \left(a + 3\right)}$$

(-9 + a^2)/(5*(3 + a))

Combinatorics [src]

  3   a
- - + -
  5   5

$$\frac{a}{5} - \frac{3}{5}$$

-3/5 + a/5