Mister Exam

Lang:

Other calculators

How to use it?
How do you in partial fractions?:
(7^(1/3))^3/(log27)
x^2/(1-x^4)
(25a^2-9)/(5a+3)
(x+5)/(x-5)+(x-5)/(x+5)
Factor polynomial:
x^9+y^3
x^9+x^7+x^5+x^3+x+1
x^9-x^6
x+9*x^4/4+27*x^7/7+27*x^10/10
Least common denominator:
tan(x/2)/(x^2+x-2)
tan(x^2)/(x*log(2))-x/(sqrt(x^2)*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)
tan(x)^2*(3+3*tan(x)^2)/(1+tan(x)^2)-tan(x)^4*(2+2*tan(x)^2)/(1+tan(x)^2)^2
tan(x)/(2+2*tan(x)^2)+tan(x)-(3*x)/2
Factor squared:
y^2-9*y*a-2*a^2
-y^2+8*y*x-8*x^2
-y^2+8*y*p+2*p^2
-y^2-9*y*p+7*p^2
Least common denominator:
sqrt(x)*(3*x^2-1/(2*x*sqrt(x)))+(x^3+1/(sqrt(x)))/(2*sqrt(x))
Identical expressions
sqrt(x)*(three *x^ two - one /(two *x*sqrt(x)))+(x^ three + one /(sqrt(x)))/(two *sqrt(x))
square root of (x) multiply by (3 multiply by x squared minus 1 divide by (2 multiply by x multiply by square root of (x))) plus (x cubed plus 1 divide by ( square root of (x))) divide by (2 multiply by square root of (x))
square root of (x) multiply by (three multiply by x to the power of two minus one divide by (two multiply by x multiply by square root of (x))) plus (x to the power of three plus one divide by ( square root of (x))) divide by (two multiply by square root of (x))
√(x)*(3*x^2-1/(2*x*√(x)))+(x^3+1/(√(x)))/(2*√(x))
sqrt(x)*(3*x2-1/(2*x*sqrt(x)))+(x3+1/(sqrt(x)))/(2*sqrt(x))
sqrtx*3*x2-1/2*x*sqrtx+x3+1/sqrtx/2*sqrtx
sqrt(x)*(3*x²-1/(2*x*sqrt(x)))+(x³+1/(sqrt(x)))/(2*sqrt(x))
sqrt(x)*(3*x to the power of 2-1/(2*x*sqrt(x)))+(x to the power of 3+1/(sqrt(x)))/(2*sqrt(x))
sqrt(x)(3x^2-1/(2xsqrt(x)))+(x^3+1/(sqrt(x)))/(2sqrt(x))
sqrt(x)(3x2-1/(2xsqrt(x)))+(x3+1/(sqrt(x)))/(2sqrt(x))
sqrtx3x2-1/2xsqrtx+x3+1/sqrtx/2sqrtx
sqrtx3x^2-1/2xsqrtx+x^3+1/sqrtx/2sqrtx
sqrt(x)*(3*x^2-1 divide by (2*x*sqrt(x)))+(x^3+1 divide by (sqrt(x))) divide by (2*sqrt(x))
Similar expressions
sqrt(x)*(3*x^2-1/(2*x*sqrt(x)))+(x^3-1/(sqrt(x)))/(2*sqrt(x))
sqrt(x)*(3*x^2-1/(2*x*sqrt(x)))-(x^3+1/(sqrt(x)))/(2*sqrt(x))
sqrt(x)*(3*x^2+1/(2*x*sqrt(x)))+(x^3+1/(sqrt(x)))/(2*sqrt(x))

Expression simplification/ Fraction Decomposition into the simple/ sqrt(x)*(3*x^2-1/(2*x*sqrt(x)))+(x^3+1/(sqrt(x)))/(2*sqrt(x))

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

The solution

You have entered [src]

                            3     1  
                           x  + -----
                                  ___
  ___ /   2       1    \        \/ x 
\/ x *|3*x  - ---------| + ----------
      |             ___|        ___  
      \       2*x*\/ x /    2*\/ x

$$\sqrt{x} \left(3 x^{2} - \frac{1}{\sqrt{x} 2 x}\right) + \frac{x^{3} + \frac{1}{\sqrt{x}}}{2 \sqrt{x}}$$

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

Fraction decomposition [src]

7*x^(5/2)/2

$$\frac{7 x^{\frac{5}{2}}}{2}$$

   5/2
7*x   
------
  2

General simplification [src]

   5/2
7*x   
------
  2

$$\frac{7 x^{\frac{5}{2}}}{2}$$

7*x^(5/2)/2

Expand expression [src]

                         3     1  
                        x  + -----
                               ___
  ___ /   2     1   \        \/ x 
\/ x *|3*x  - ------| + ----------
      |          3/2|        ___  
      \       2*x   /    2*\/ x

$$\sqrt{x} \left(3 x^{2} - \frac{1}{2 x^{\frac{3}{2}}}\right) + \frac{x^{3} + \frac{1}{\sqrt{x}}}{2 \sqrt{x}}$$

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

Powers [src]

                         3     1  
                        x  + -----
                               ___
  ___ /   2     1   \        \/ x 
\/ x *|3*x  - ------| + ----------
      |          3/2|        ___  
      \       2*x   /    2*\/ x

$$\sqrt{x} \left(3 x^{2} - \frac{1}{2 x^{\frac{3}{2}}}\right) + \frac{x^{3} + \frac{1}{\sqrt{x}}}{2 \sqrt{x}}$$

                         3          
                        x       1   
                        -- + -------
                        2        ___
  ___ /   2     1   \        2*\/ x 
\/ x *|3*x  - ------| + ------------
      |          3/2|        ___    
      \       2*x   /      \/ x

$$\sqrt{x} \left(3 x^{2} - \frac{1}{2 x^{\frac{3}{2}}}\right) + \frac{\frac{x^{3}}{2} + \frac{1}{2 \sqrt{x}}}{\sqrt{x}}$$

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

Numerical answer [src]

x^0.5*(3.0*x^2 - 0.5*x^(-1.5)) + 0.5*x^(-0.5)*(x^3 + x^(-0.5))

x^0.5*(3.0*x^2 - 0.5*x^(-1.5)) + 0.5*x^(-0.5)*(x^3 + x^(-0.5))

Trigonometric part [src]

                         3     1  
                        x  + -----
                               ___
  ___ /   2     1   \        \/ x 
\/ x *|3*x  - ------| + ----------
      |          3/2|        ___  
      \       2*x   /    2*\/ x

$$\sqrt{x} \left(3 x^{2} - \frac{1}{2 x^{\frac{3}{2}}}\right) + \frac{x^{3} + \frac{1}{\sqrt{x}}}{2 \sqrt{x}}$$

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

Combining rational expressions [src]

   5/2
7*x   
------
  2

$$\frac{7 x^{\frac{5}{2}}}{2}$$

7*x^(5/2)/2

Common denominator [src]

   5/2
7*x   
------
  2

$$\frac{7 x^{\frac{5}{2}}}{2}$$

7*x^(5/2)/2

Rational denominator [src]

        ____
   5   /  5 
7*x *\/  x  
------------
       5    
    2*x

$$\frac{7 x^{5} \sqrt{x^{5}}}{2 x^{5}}$$

7*x^5*sqrt(x^5)/(2*x^5)

Assemble expression [src]

                         3     1  
                        x  + -----
                               ___
  ___ /   2     1   \        \/ x 
\/ x *|3*x  - ------| + ----------
      |          3/2|        ___  
      \       2*x   /    2*\/ x

$$\sqrt{x} \left(3 x^{2} - \frac{1}{2 x^{\frac{3}{2}}}\right) + \frac{x^{3} + \frac{1}{\sqrt{x}}}{2 \sqrt{x}}$$

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

Combinatorics [src]

   5/2
7*x   
------
  2

$$\frac{7 x^{\frac{5}{2}}}{2}$$

7*x^(5/2)/2

Other calculators

How to use it?

Identical expressions

Similar expressions

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

The solution

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