Mister Exam

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Least common denominator:
z^(((p-3)/(p^2+3*p))/(12/(9-p^2))*(3/(3*p-p^2)))
(z/c+c/z)/(z^2+c^2)/(5*z^9*c)
(z/c-c/z)*5*z*c/(z+c)
(z/b-b/z)*6*z*b/(z+b)
Factor polynomial:
x^3-1
x^7+1
x^2-x+1
m^2-n^2+m+n
Factor squared:
y^4+y^2-1
y^4+9*y^2-3
y^4+9*y^2+3
y^4+9*y^2+2
How do you in partial fractions?:
(((z^2)+(6*z+4))/((z^3)+8))/(1/-1)
(a^2+a*b)/(a+b)
x^3*y^12/(x*y^4)^3
(x^2+x-6)/(x+2)
Identical expressions
z^(((p- three)/(p^ two + three *p))/(twelve /(nine -p^ two))*(three /(three *p-p^ two)))
z to the power of (((p minus 3) divide by (p squared plus 3 multiply by p)) divide by (12 divide by (9 minus p squared )) multiply by (3 divide by (3 multiply by p minus p squared )))
z to the power of (((p minus three) divide by (p to the power of two plus three multiply by p)) divide by (twelve divide by (nine minus p to the power of two)) multiply by (three divide by (three multiply by p minus p to the power of two)))
z(((p-3)/(p2+3*p))/(12/(9-p2))*(3/(3*p-p2)))
zp-3/p2+3*p/12/9-p2*3/3*p-p2
z^(((p-3)/(p²+3*p))/(12/(9-p²))*(3/(3*p-p²)))
z to the power of (((p-3)/(p to the power of 2+3*p))/(12/(9-p to the power of 2))*(3/(3*p-p to the power of 2)))
z^(((p-3)/(p^2+3p))/(12/(9-p^2))(3/(3p-p^2)))
z(((p-3)/(p2+3p))/(12/(9-p2))(3/(3p-p2)))
zp-3/p2+3p/12/9-p23/3p-p2
z^p-3/p^2+3p/12/9-p^23/3p-p^2
z^(((p-3) divide by (p^2+3*p)) divide by (12 divide by (9-p^2))*(3 divide by (3*p-p^2)))
Similar expressions
z^(((p-3)/(p^2+3*p))/(12/(9-p^2))*(3/(3*p+p^2)))
z^(((p-3)/(p^2+3*p))/(12/(9+p^2))*(3/(3*p-p^2)))
z^(((p-3)/(p^2-3*p))/(12/(9-p^2))*(3/(3*p-p^2)))
z^(((p+3)/(p^2+3*p))/(12/(9-p^2))*(3/(3*p-p^2)))

Expression simplification/ Least common denominator/ z^(((p-3)/(p^2+3*p))/(12/(9-p^2))*(3/(3*p-p^2)))

Least common denominator z^(((p-3)/(p^2+3p))/(12/(9-p^2))(3/(3*p-p^2)))

The solution

You have entered [src]

 / p - 3  \         
 |--------|         
 | 2      |         
 \p  + 3*p/    3    
 ----------*--------
  /  12  \         2
  |------|  3*p - p 
  |     2|          
  \9 - p /          
z

$$z^{\frac{\left(p - 3\right) \frac{1}{p^{2} + 3 p}}{12 \frac{1}{9 - p^{2}}} \frac{3}{- p^{2} + 3 p}}$$

z^((((p - 3)/(p^2 + 3*p))/((12/(9 - p^2))))*(3/(3*p - p^2)))

General simplification [src]

         2   
   -9 + p    
 ------------
    2        
 4*p *(3 + p)
z

$$z^{\frac{p^{2} - 9}{4 p^{2} \left(p + 3\right)}}$$

z^((-9 + p^2)/(4*p^2*(3 + p)))

Combinatorics [src]

              /     2\  
              |3   p |  
   3*(-3 + p)*|- - --|  
              \4   12/  
 -----------------------
 / 2      \ /   2      \
 \p  + 3*p/*\- p  + 3*p/
z

$$z^{\frac{3 \left(\frac{3}{4} - \frac{p^{2}}{12}\right) \left(p - 3\right)}{\left(- p^{2} + 3 p\right) \left(p^{2} + 3 p\right)}}$$

z^(3*(-3 + p)*(3/4 - p^2/12)/((p^2 + 3*p)*(-p^2 + 3*p)))

Common denominator [src]

      -27              9            3          -p     
 --------------  -------------  ----------  ----------
      4       2       3           /     2\    /     2\
 - 4*p  + 36*p   - 4*p  + 36*p  4*\9 - p /  4*\9 - p /
z              *z             *z          *z

$$z^{- \frac{p}{4 \left(9 - p^{2}\right)}} z^{\frac{3}{4 \left(9 - p^{2}\right)}} z^{\frac{9}{- 4 p^{3} + 36 p}} z^{- \frac{27}{- 4 p^{4} + 36 p^{2}}}$$

z^(-27/(-4*p^4 + 36*p^2))*z^(9/(-4*p^3 + 36*p))*z^(3/(4*(9 - p^2)))*z^(-p/(4*(9 - p^2)))

Combining rational expressions [src]

            /     2\
            |3   p |
 3*(-3 + p)*|- - --|
            \4   12/
 -------------------
   2                
  p *(3 + p)*(3 - p)
z

$$z^{\frac{3 \left(\frac{3}{4} - \frac{p^{2}}{12}\right) \left(p - 3\right)}{p^{2} \left(3 - p\right) \left(p + 3\right)}}$$

z^(3*(-3 + p)*(3/4 - p^2/12)/(p^2*(3 + p)*(3 - p)))

Trigonometric part [src]

              /     2\  
              |3   p |  
   3*(-3 + p)*|- - --|  
              \4   12/  
 -----------------------
 / 2      \ /   2      \
 \p  + 3*p/*\- p  + 3*p/
z

$$z^{\frac{3 \left(\frac{3}{4} - \frac{p^{2}}{12}\right) \left(p - 3\right)}{\left(- p^{2} + 3 p\right) \left(p^{2} + 3 p\right)}}$$

z^(3*(-3 + p)*(3/4 - p^2/12)/((p^2 + 3*p)*(-p^2 + 3*p)))

Rational denominator [src]

       3            2
 27 + p  - 9*p - 3*p 
 --------------------
      / 4      2\    
    4*\p  - 9*p /    
z

$$z^{\frac{p^{3} - 3 p^{2} - 9 p + 27}{4 \left(p^{4} - 9 p^{2}\right)}}$$

z^((27 + p^3 - 9*p - 3*p^2)/(4*(p^4 - 9*p^2)))

Numerical answer [src]

z^(3.0*(0.75 - 0.0833333333333333*p^2)*(-3.0 + p)/((p^2 + 3.0*p)*(-p^2 + 3.0*p)))

z^(3.0*(0.75 - 0.0833333333333333*p^2)*(-3.0 + p)/((p^2 + 3.0*p)*(-p^2 + 3.0*p)))

Powers [src]

                /     2\   
                |3   p |   
       (-3 + p)*|- - --|   
                \4   12/   
    -----------------------
    / 2      \ /   2      \
    \p  + 3*p/*\- p  + 3*p/
/ 3\                       
\z /

$$\left(z^{3}\right)^{\frac{\left(\frac{3}{4} - \frac{p^{2}}{12}\right) \left(p - 3\right)}{\left(- p^{2} + 3 p\right) \left(p^{2} + 3 p\right)}}$$

              /     2\  
              |3   p |  
   3*(-3 + p)*|- - --|  
              \4   12/  
 -----------------------
 / 2      \ /   2      \
 \p  + 3*p/*\- p  + 3*p/
z

$$z^{\frac{3 \left(\frac{3}{4} - \frac{p^{2}}{12}\right) \left(p - 3\right)}{\left(- p^{2} + 3 p\right) \left(p^{2} + 3 p\right)}}$$

z^(3*(-3 + p)*(3/4 - p^2/12)/((p^2 + 3*p)*(-p^2 + 3*p)))

Expand expression [src]

     /     2\         
     |3   p |         
   3*|- - --|*(p - 3) 
     \4   12/         
 ---------------------
 / 2      \ /       2\
 \p  + 3*p/*\3*p - p /
z

$$z^{\frac{3 \left(\frac{3}{4} - \frac{p^{2}}{12}\right) \left(p - 3\right)}{\left(- p^{2} + 3 p\right) \left(p^{2} + 3 p\right)}}$$

z^(3*(3/4 - p^2/12)*(p - 3)/((p^2 + 3*p)*(3*p - p^2)))

Other calculators

How to use it?

Identical expressions

Similar expressions

Least common denominator z^(((p-3)/(p^2+3*p))/(12/(9-p^2))*(3/(3*p-p^2)))

The solution

Least common denominator z^(((p-3)/(p^2+3p))/(12/(9-p^2))(3/(3*p-p^2)))