Mister Exam

Lang:

How to use it?
Least common denominator:
(x+3/(6*x-30))*(450/(x^2+3*x))
((x^3+6*x^2+11*x+6)/(-6))+((-x^3-9*x^2-26*x-24)/6)
x^2*y+16/(y-1)*(x-4)-16*y+x^2/x*y-x-4*y+4
(x2-x1)*x1-(c/a-x1*(x1+x2)/2)
Factor polynomial:
y^2+8*y+16
y^2+4*y-60
y^2-4*y-42
y^2+4*y^2
Factor squared:
-y^2-y*q-4*q^2
y^2+y*q+4*q^2
-y^2+y*x+2*x^2
y^2-y*t-6*t^2
How do you in partial fractions?:
x^2-9/(x+3)^2
(4x-1)/(x^2-4x+8)
1/(x^4+x^2)
((x*x)*x-15*x)*(-2*x/((x*x)*x-15*x)+(5-x*x)*(15-x^2-2*x^2)/((x*x)*x-15*x)^2)/(4*(5-x*x))
How do you in partial fractions?:
(x+3/(6*x-30))*(450/(x^2+3*x))
Identical expressions
(x+ three /(six *x- thirty))*(four hundred and fifty /(x^ two + three *x))
(x plus 3 divide by (6 multiply by x minus 30)) multiply by (450 divide by (x squared plus 3 multiply by x))
(x plus three divide by (six multiply by x minus thirty)) multiply by (four hundred and fifty divide by (x to the power of two plus three multiply by x))
(x+3/(6*x-30))*(450/(x2+3*x))
x+3/6*x-30*450/x2+3*x
(x+3/(6*x-30))*(450/(x²+3*x))
(x+3/(6*x-30))*(450/(x to the power of 2+3*x))
(x+3/(6x-30))(450/(x^2+3x))
(x+3/(6x-30))(450/(x2+3x))
x+3/6x-30450/x2+3x
x+3/6x-30450/x^2+3x
(x+3 divide by (6*x-30))*(450 divide by (x^2+3*x))
Similar expressions
(x+3/(6*x+30))*(450/(x^2+3*x))
(x+3/(6*x-30))*(450/(x^2-3*x))
(x-3/(6*x-30))*(450/(x^2+3*x))

Least common denominator (x+3/(6x-30))(450/(x^2+3*x))

You have entered [src]

/       3    \   450   
|x + --------|*--------
\    6*x - 30/  2      
               x  + 3*x

$$\left(x + \frac{3}{6 x - 30}\right) \frac{450}{x^{2} + 3 x}$$

(x + 3/(6*x - 30))*(450/(x^2 + 3*x))

General simplification [src]

225*(1 + 2*x*(-5 + x))
----------------------
  x*(-5 + x)*(3 + x)

$$\frac{225 \left(2 x \left(x - 5\right) + 1\right)}{x \left(x - 5\right) \left(x + 3\right)}$$

225*(1 + 2*x*(-5 + x))/(x*(-5 + x)*(3 + x))

Fraction decomposition [src]

-15/x + 45/(8*(-5 + x)) + 3675/(8*(3 + x))

$$\frac{3675}{8 \left(x + 3\right)} + \frac{45}{8 \left(x - 5\right)} - \frac{15}{x}$$

  15       45          3675  
- -- + ---------- + ---------
  x    8*(-5 + x)   8*(3 + x)

Combinatorics [src]

    /              2\
225*\1 - 10*x + 2*x /
---------------------
  x*(-5 + x)*(3 + x)

$$\frac{225 \left(2 x^{2} - 10 x + 1\right)}{x \left(x - 5\right) \left(x + 3\right)}$$

225*(1 - 10*x + 2*x^2)/(x*(-5 + x)*(3 + x))

Rational denominator [src]

1350 + 450*x*(-30 + 6*x)
------------------------
             / 2      \ 
 (-30 + 6*x)*\x  + 3*x/

$$\frac{450 x \left(6 x - 30\right) + 1350}{\left(6 x - 30\right) \left(x^{2} + 3 x\right)}$$

(1350 + 450*x*(-30 + 6*x))/((-30 + 6*x)*(x^2 + 3*x))

Combining rational expressions [src]

225*(1 + 2*x*(-5 + x))
----------------------
  x*(-5 + x)*(3 + x)

$$\frac{225 \left(2 x \left(x - 5\right) + 1\right)}{x \left(x - 5\right) \left(x + 3\right)}$$

225*(1 + 2*x*(-5 + x))/(x*(-5 + x)*(3 + x))

Trigonometric part [src]

    /        3    \
450*|x + ---------|
    \    -30 + 6*x/
-------------------
       2           
      x  + 3*x

$$\frac{450 \left(x + \frac{3}{6 x - 30}\right)}{x^{2} + 3 x}$$

450*(x + 3/(-30 + 6*x))/(x^2 + 3*x)

Powers [src]

    /        3    \
450*|x + ---------|
    \    -30 + 6*x/
-------------------
       2           
      x  + 3*x

$$\frac{450 \left(x + \frac{3}{6 x - 30}\right)}{x^{2} + 3 x}$$

           1350  
450*x + ---------
        -30 + 6*x
-----------------
      2          
     x  + 3*x

$$\frac{450 x + \frac{1350}{6 x - 30}}{x^{2} + 3 x}$$

(450*x + 1350/(-30 + 6*x))/(x^2 + 3*x)

Common denominator [src]

                    2
225 - 2250*x + 450*x 
---------------------
    3             2  
   x  - 15*x - 2*x

$$\frac{450 x^{2} - 2250 x + 225}{x^{3} - 2 x^{2} - 15 x}$$

(225 - 2250*x + 450*x^2)/(x^3 - 15*x - 2*x^2)

Numerical answer [src]

450.0*(x + 3.0/(-30.0 + 6.0*x))/(x^2 + 3.0*x)

450.0*(x + 3.0/(-30.0 + 6.0*x))/(x^2 + 3.0*x)

Assemble expression [src]

    /        3    \
450*|x + ---------|
    \    -30 + 6*x/
-------------------
       2           
      x  + 3*x

$$\frac{450 \left(x + \frac{3}{6 x - 30}\right)}{x^{2} + 3 x}$$

450*(x + 3/(-30 + 6*x))/(x^2 + 3*x)

Least common denominator (x+3/(6*x-30))*(450/(x^2+3*x))