Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
-x^2/(x-2)^2+2*x/(x-2)
(a^3+a)/(a^4+a)
1/(3*sqrt(1-x^2/9))
x^3/(x^8+1)
Factor polynomial:
x^6+27
x^4+4
x^3-x^5
x^2-y^2+x+y
Least common denominator:
(a/5+a/7)*a^2/4
(z/(z+6)*(z+6))-(z/(z-6)*(z+6))
z/(z+4)^2-z/z^2-16
(z+y*(x*z)/(z^2-x*y)+x*(z*y)/(z^2-x*y)-2*z*((x*z)/(z^2-x*y))*((z*y)/(z^2-x*y)))/(z^2-x*y)
Factor squared:
y^4-y^2+9
x^2+x+3
y^4-y^2+4
2*x^2+x*y-y^2
Least common denominator:
1/(3*sqrt(1-x^2/9))
Identical expressions
one /(three *sqrt(one -x^ two / nine))
1 divide by (3 multiply by square root of (1 minus x squared divide by 9))
one divide by (three multiply by square root of (one minus x to the power of two divide by nine))
1/(3*√(1-x^2/9))
1/(3*sqrt(1-x2/9))
1/3*sqrt1-x2/9
1/(3*sqrt(1-x²/9))
1/(3*sqrt(1-x to the power of 2/9))
1/(3sqrt(1-x^2/9))
1/(3sqrt(1-x2/9))
1/3sqrt1-x2/9
1/3sqrt1-x^2/9
1 divide by (3*sqrt(1-x^2 divide by 9))
Similar expressions
1/(3*sqrt(1+x^2/9))

How do you 1/(3*sqrt(1-x^2/9)) in partial fractions?

You have entered [src]

       1       
---------------
       ________
      /      2 
     /      x  
3*  /   1 - -- 
  \/        9

$$\frac{1}{3 \sqrt{- \frac{x^{2}}{9} + 1}}$$

1/(3*sqrt(1 - x^2/9))

General simplification [src]

     1     
-----------
   ________
  /      2 
\/  9 - x

$$\frac{1}{\sqrt{9 - x^{2}}}$$

1/sqrt(9 - x^2)

Fraction decomposition [src]

1/sqrt(-(-3 + x)*(3 + x))

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

          1          
---------------------
  ___________________
\/ -(-3 + x)*(3 + x)

Rational denominator [src]

    ________ 
   /      2  
-\/  9 - x   
-------------
         2   
   -9 + x

$$- \frac{\sqrt{9 - x^{2}}}{x^{2} - 9}$$

-sqrt(9 - x^2)/(-9 + x^2)

Trigonometric part [src]

       1       
---------------
       ________
      /      2 
     /      x  
3*  /   1 - -- 
  \/        9

$$\frac{1}{3 \sqrt{1 - \frac{x^{2}}{9}}}$$

1/(3*sqrt(1 - x^2/9))

Common denominator [src]

     1     
-----------
   ________
  /      2 
\/  9 - x

$$\frac{1}{\sqrt{9 - x^{2}}}$$

1/sqrt(9 - x^2)

Powers [src]

       1       
---------------
       ________
      /      2 
     /      x  
3*  /   1 - -- 
  \/        9

$$\frac{1}{3 \sqrt{1 - \frac{x^{2}}{9}}}$$

1/(3*sqrt(1 - x^2/9))

Combining rational expressions [src]

     1     
-----------
   ________
  /      2 
\/  9 - x

$$\frac{1}{\sqrt{9 - x^{2}}}$$

1/sqrt(9 - x^2)

Combinatorics [src]

          1          
---------------------
  ___________________
\/ -(-3 + x)*(3 + x)

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

1/sqrt(-(-3 + x)*(3 + x))

Assemble expression [src]

       1       
---------------
       ________
      /      2 
     /      x  
3*  /   1 - -- 
  \/        9

$$\frac{1}{3 \sqrt{1 - \frac{x^{2}}{9}}}$$

1/(3*sqrt(1 - x^2/9))

Numerical answer [src]

0.333333333333333*(1.0 - 0.111111111111111*x^2)^(-0.5)

0.333333333333333*(1.0 - 0.111111111111111*x^2)^(-0.5)