Mister Exam

Lang:

How to use it?
Least common denominator:
(x/sqrt(x^2-y^2))^2+(-y/sqrt(x^2-y^2))^2
((x^3+6*x^2+11*x+6)/(-6))+((-x^3-9*x^2-26*x-24)/6)
((x+2)/(2-x)-(2-x)/(x+2))*((x-2)^2)
(x/216+5*3^(1/2)/144)/(7776*x-97200*3^(1/2))
Factor polynomial:
x+9*x^2+27*x+162
x+9*x
x^99+x^98+x^2+1
x^9+3*x^7+3*x^5+x^3-x+7
Factor squared:
y^2-y*q-5*q^2
y^2-y*b+10*b^2
y^2-y*b-9*b^2
-y^2+y*p-4*p^2
How do you in partial fractions?:
(t^3+1)/(t^2-t+t)
(-3*x^2+2*x+1)/(x-1)
(2*x^5-10*x^4+20*x^3-32*x^2+16*x)/(x^2-2*x)^4
k/(k+6)^2-k/(k^2-36)+1/(k-6)^2
How do you in partial fractions?:
((x+2)/(2-x)-(2-x)/(x+2))*((x-2)^2)
Identical expressions
((x+ two)/(two -x)-(two -x)/(x+ two))*((x- two)^ two)
((x plus 2) divide by (2 minus x) minus (2 minus x) divide by (x plus 2)) multiply by ((x minus 2) squared )
((x plus two) divide by (two minus x) minus (two minus x) divide by (x plus two)) multiply by ((x minus two) to the power of two)
((x+2)/(2-x)-(2-x)/(x+2))*((x-2)2)
x+2/2-x-2-x/x+2*x-22
((x+2)/(2-x)-(2-x)/(x+2))*((x-2)²)
((x+2)/(2-x)-(2-x)/(x+2))*((x-2) to the power of 2)
((x+2)/(2-x)-(2-x)/(x+2))((x-2)^2)
((x+2)/(2-x)-(2-x)/(x+2))((x-2)2)
x+2/2-x-2-x/x+2x-22
x+2/2-x-2-x/x+2x-2^2
((x+2) divide by (2-x)-(2-x) divide by (x+2))*((x-2)^2)
Similar expressions
((x+2)/(2+x)-(2-x)/(x+2))*((x-2)^2)
((x+2)/(2-x)-(2+x)/(x+2))*((x-2)^2)
((x+2)/(2-x)-(2-x)/(x-2))*((x-2)^2)
((x+2)/(2-x)+(2-x)/(x+2))*((x-2)^2)
((x-2)/(2-x)-(2-x)/(x+2))*((x-2)^2)
((x+2)/(2-x)-(2-x)/(x+2))*((x+2)^2)

Least common denominator ((x+2)/(2-x)-(2-x)/(x+2))*((x-2)^2)

You have entered [src]

/x + 2   2 - x\        2
|----- - -----|*(x - 2) 
\2 - x   x + 2/

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

((x + 2)/(2 - x) - (2 - x)/(x + 2))*(x - 2)^2

Fraction decomposition [src]

32 - 64/(2 + x) - 8*x

$$- 8 x + 32 - \frac{64}{x + 2}$$

       64       
32 - ----- - 8*x
     2 + x

General simplification [src]

-8*x*(-2 + x)
-------------
    2 + x

$$- \frac{8 x \left(x - 2\right)}{x + 2}$$

-8*x*(-2 + x)/(2 + x)

Numerical answer [src]

4.0*(-1 + 0.5*x)^2*((2.0 + x)/(2.0 - x) - (2.0 - x)/(2.0 + x))

4.0*(-1 + 0.5*x)^2*((2.0 + x)/(2.0 - x) - (2.0 - x)/(2.0 + x))

Rational denominator [src]

        2 /       2                   \
(-2 + x) *\(2 + x)  + (-2 + x)*(2 - x)/
---------------------------------------
            (2 + x)*(2 - x)

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

(-2 + x)^2*((2 + x)^2 + (-2 + x)*(2 - x))/((2 + x)*(2 - x))

Combining rational expressions [src]

        2 /       2          2\
(-2 + x) *\(2 + x)  - (2 - x) /
-------------------------------
        (2 + x)*(2 - x)

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

(-2 + x)^2*((2 + x)^2 - (2 - x)^2)/((2 + x)*(2 - x))

Common denominator [src]

       64       
32 - ----- - 8*x
     2 + x

$$- 8 x + 32 - \frac{64}{x + 2}$$

32 - 64/(2 + x) - 8*x

Combinatorics [src]

-8*x*(-2 + x)
-------------
    2 + x

$$- \frac{8 x \left(x - 2\right)}{x + 2}$$

-8*x*(-2 + x)/(2 + x)

Powers [src]

        2 /-2 + x   2 + x\
(-2 + x) *|------ + -----|
          \2 + x    2 - x/

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

(-2 + x)^2*((-2 + x)/(2 + x) + (2 + x)/(2 - x))