Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
((2*x+10)/(3*x))/(2*x^2+20*x+50*x)
(a^-2-a/a^-1-1)/(a^2+1)
(u^2-4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3+64)
sin^(-1)(sin((9pi)/(8)))
Factor polynomial:
x^4-81
a^5+b^5+c^5+d^5
y^2-81
x^3-y^6
Least common denominator:
(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1)^2))/(x+1)
(z^5-5*z^3+10*z-1/10*z+1/5*z^3-1/z^5)*(z^3-3*z+1/3*z-1/z^3)
factorial(x)*factorial(x)/factorial(x-2)/factorial(x-1)
-x/10-10*(x/10)^2/2
Factor squared:
y^4-y^2-7
-a^4+8*a^2-1
x^2-x*a+4*a^2
5*p^4-3*p^2+13
Least common denominator:
((2*x+10)/(3*x))/(2*x^2+20*x+50*x)
Identical expressions
((two *x+ ten)/(three *x))/(two *x^ two + twenty *x+ fifty *x)
((2 multiply by x plus 10) divide by (3 multiply by x)) divide by (2 multiply by x squared plus 20 multiply by x plus 50 multiply by x)
((two multiply by x plus ten) divide by (three multiply by x)) divide by (two multiply by x to the power of two plus twenty multiply by x plus fifty multiply by x)
((2*x+10)/(3*x))/(2*x2+20*x+50*x)
2*x+10/3*x/2*x2+20*x+50*x
((2*x+10)/(3*x))/(2*x²+20*x+50*x)
((2*x+10)/(3*x))/(2*x to the power of 2+20*x+50*x)
((2x+10)/(3x))/(2x^2+20x+50x)
((2x+10)/(3x))/(2x2+20x+50x)
2x+10/3x/2x2+20x+50x
2x+10/3x/2x^2+20x+50x
((2*x+10) divide by (3*x)) divide by (2*x^2+20*x+50*x)
Similar expressions
((2*x+10)/(3*x))/(2*x^2+20*x-50*x)
((2*x-10)/(3*x))/(2*x^2+20*x+50*x)
((2*x+10)/(3*x))/(2*x^2-20*x+50*x)

How do you ((2x+10)/(3x))/(2x^2+20x+50*x) in partial fractions?

You have entered [src]

    /2*x + 10\    
    |--------|    
    \  3*x   /    
------------------
   2              
2*x  + 20*x + 50*x

$$\frac{\frac{1}{3 x} \left(2 x + 10\right)}{50 x + \left(2 x^{2} + 20 x\right)}$$

((2*x + 10)/((3*x)))/(2*x^2 + 20*x + 50*x)

Fraction decomposition [src]

-2/(245*(35 + x)) + 1/(21*x^2) + 2/(245*x)

$$- \frac{2}{245 \left(x + 35\right)} + \frac{2}{245 x} + \frac{1}{21 x^{2}}$$

       2           1       2  
- ------------ + ----- + -----
  245*(35 + x)       2   245*x
                 21*x

General simplification [src]

    5 + x    
-------------
   2         
3*x *(35 + x)

$$\frac{x + 5}{3 x^{2} \left(x + 35\right)}$$

(5 + x)/(3*x^2*(35 + x))

Expand expression [src]

        2*x + 10        
------------------------
    /   2              \
3*x*\2*x  + 20*x + 50*x/

$$\frac{2 x + 10}{3 x \left(50 x + \left(2 x^{2} + 20 x\right)\right)}$$

(2*x + 10)/(3*x*(2*x^2 + 20*x + 50*x))

Rational denominator [src]

     10 + 2*x    
-----------------
    /   2       \
3*x*\2*x  + 70*x/

$$\frac{2 x + 10}{3 x \left(2 x^{2} + 70 x\right)}$$

(10 + 2*x)/(3*x*(2*x^2 + 70*x))

Assemble expression [src]

     10 + 2*x    
-----------------
    /   2       \
3*x*\2*x  + 70*x/

$$\frac{2 x + 10}{3 x \left(2 x^{2} + 70 x\right)}$$

(10 + 2*x)/(3*x*(2*x^2 + 70*x))

Numerical answer [src]

0.333333333333333*(10.0 + 2.0*x)/(x*(2.0*x^2 + 70.0*x))

0.333333333333333*(10.0 + 2.0*x)/(x*(2.0*x^2 + 70.0*x))

Combinatorics [src]

    5 + x    
-------------
   2         
3*x *(35 + x)

$$\frac{x + 5}{3 x^{2} \left(x + 35\right)}$$

(5 + x)/(3*x^2*(35 + x))

Common denominator [src]

    5 + x    
-------------
   3        2
3*x  + 105*x

$$\frac{x + 5}{3 x^{3} + 105 x^{2}}$$

(5 + x)/(3*x^3 + 105*x^2)

Powers [src]

     10 + 2*x    
-----------------
    /   2       \
3*x*\2*x  + 70*x/

$$\frac{2 x + 10}{3 x \left(2 x^{2} + 70 x\right)}$$

    10   2*x   
    -- + ---   
    3     3    
---------------
  /   2       \
x*\2*x  + 70*x/

$$\frac{\frac{2 x}{3} + \frac{10}{3}}{x \left(2 x^{2} + 70 x\right)}$$

(10/3 + 2*x/3)/(x*(2*x^2 + 70*x))

Trigonometric part [src]

     10 + 2*x    
-----------------
    /   2       \
3*x*\2*x  + 70*x/

$$\frac{2 x + 10}{3 x \left(2 x^{2} + 70 x\right)}$$

(10 + 2*x)/(3*x*(2*x^2 + 70*x))

Combining rational expressions [src]

    5 + x    
-------------
   2         
3*x *(35 + x)

$$\frac{x + 5}{3 x^{2} \left(x + 35\right)}$$

(5 + x)/(3*x^2*(35 + x))

How do you ((2*x+10)/(3*x))/(2*x^2+20*x+50*x) in partial fractions?