Mister Exam

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How to use it?
Least common denominator:
(p/(p^2-4)+2/(2-p)+1/(p+2))/(p-2+(10-p^2)/(p+2))
((p^i)*sin((i+1)*x)/i+1)*i/((p^i)*sin(i*x))
pi/9-pi/5
((n/(b+1/(p*s))+1)*(d+p*l)+n)/c+n/(b+1/(p*s))+1
Factor polynomial:
x^4-6*x^3-7*x^2+36*x+36
x^4-6*x^3+4*x^2-8*x-96
x^4+5*x^3+2*x^2+5*x+1
x^4+5*x^2/2
Factor squared:
y^2+4*y+10
y^2-4*y-1
-y^2-4*y-1
y^2-4*y+1
How do you in partial fractions?:
log(((6*sin(x))/(1+cos(x))-4*sqrt(3)+6)/(6+4*sqrt(3)+(6*sin(x))/(1+cos(x))))/(2*sqrt(3))
log((4*x-2*sqrt(34)+12)/(12+2*sqrt(34)+4*x))/(2*sqrt(34))
log((2*sqrt(64*n+3)-2*sqrt(3))/(2*sqrt(3)+2*sqrt(64*n+3)))/sqrt(3)
exp(x)/(E^x-E^(-x))+(E^x+1)*(-E^x-exp(-x))/(E^x-E^(-x))^2
How do you in partial fractions?:
log((6*x-2*sqrt(15))/(2*sqrt(15)+6*x))/(2*sqrt(15))
Identical expressions
log((six *x- two *sqrt(fifteen))/(two *sqrt(fifteen)+ six *x))/(two *sqrt(fifteen))
logarithm of ((6 multiply by x minus 2 multiply by square root of (15)) divide by (2 multiply by square root of (15) plus 6 multiply by x)) divide by (2 multiply by square root of (15))
logarithm of ((six multiply by x minus two multiply by square root of (fifteen)) divide by (two multiply by square root of (fifteen) plus six multiply by x)) divide by (two multiply by square root of (fifteen))
log((6*x-2*√(15))/(2*√(15)+6*x))/(2*√(15))
log((6x-2sqrt(15))/(2sqrt(15)+6x))/(2sqrt(15))
log6x-2sqrt15/2sqrt15+6x/2sqrt15
log((6*x-2*sqrt(15)) divide by (2*sqrt(15)+6*x)) divide by (2*sqrt(15))
Similar expressions
log((6*x-2*sqrt(15))/(2*sqrt(15)-6*x))/(2*sqrt(15))
log((6*x+2*sqrt(15))/(2*sqrt(15)+6*x))/(2*sqrt(15))

Expression simplification/ Least common denominator/ log((6*x-2*sqrt(15))/(2*sqrt(15)+6*x))/(2*sqrt(15))

Least common denominator log((6x-2sqrt(15))/(2sqrt(15)+6x))/(2*sqrt(15))

The solution

You have entered [src]

   /          ____\
   |6*x - 2*\/ 15 |
log|--------------|
   |    ____      |
   \2*\/ 15  + 6*x/
-------------------
          ____     
      2*\/ 15

$$\frac{\log{\left(\frac{6 x - 2 \sqrt{15}}{6 x + 2 \sqrt{15}} \right)}}{2 \sqrt{15}}$$

log((6*x - 2*sqrt(15))/(2*sqrt(15) + 6*x))/((2*sqrt(15)))

Fraction decomposition [src]

sqrt(15)*log(-2*sqrt(15)/(2*sqrt(15) + 6*x) + 6*x/(2*sqrt(15) + 6*x))/30

$$\frac{\sqrt{15} \log{\left(\frac{6 x}{6 x + 2 \sqrt{15}} - \frac{2 \sqrt{15}}{6 x + 2 \sqrt{15}} \right)}}{30}$$

          /         ____                    \
  ____    |     2*\/ 15            6*x      |
\/ 15 *log|- -------------- + --------------|
          |      ____             ____      |
          \  2*\/ 15  + 6*x   2*\/ 15  + 6*x/
---------------------------------------------
                      30

General simplification [src]

          /    ____      \
  ____    |- \/ 15  + 3*x|
\/ 15 *log|--------------|
          |   ____       |
          \ \/ 15  + 3*x /
--------------------------
            30

$$\frac{\sqrt{15} \log{\left(\frac{3 x - \sqrt{15}}{3 x + \sqrt{15}} \right)}}{30}$$

sqrt(15)*log((-sqrt(15) + 3*x)/(sqrt(15) + 3*x))/30

Rational denominator [src]

          /       2         ____\
  ____    |5 + 3*x  - 2*x*\/ 15 |
\/ 15 *log|---------------------|
          |              2      |
          \      -5 + 3*x       /
---------------------------------
                30

$$\frac{\sqrt{15} \log{\left(\frac{3 x^{2} - 2 \sqrt{15} x + 5}{3 x^{2} - 5} \right)}}{30}$$

sqrt(15)*log((5 + 3*x^2 - 2*x*sqrt(15))/(-5 + 3*x^2))/30

Numerical answer [src]

0.129099444873581*log((6*x - 2*sqrt(15))/(2*sqrt(15) + 6*x))

0.129099444873581*log((6*x - 2*sqrt(15))/(2*sqrt(15) + 6*x))

Combinatorics [src]

          /         ____                    \
  ____    |     2*\/ 15            6*x      |
\/ 15 *log|- -------------- + --------------|
          |      ____             ____      |
          \  2*\/ 15  + 6*x   2*\/ 15  + 6*x/
---------------------------------------------
                      30

$$\frac{\sqrt{15} \log{\left(\frac{6 x}{6 x + 2 \sqrt{15}} - \frac{2 \sqrt{15}}{6 x + 2 \sqrt{15}} \right)}}{30}$$

sqrt(15)*log(-2*sqrt(15)/(2*sqrt(15) + 6*x) + 6*x/(2*sqrt(15) + 6*x))/30

Trigonometric part [src]

          /      ____      \
  ____    |- 2*\/ 15  + 6*x|
\/ 15 *log|----------------|
          |     ____       |
          \ 2*\/ 15  + 6*x /
----------------------------
             30

$$\frac{\sqrt{15} \log{\left(\frac{6 x - 2 \sqrt{15}}{6 x + 2 \sqrt{15}} \right)}}{30}$$

sqrt(15)*log((-2*sqrt(15) + 6*x)/(2*sqrt(15) + 6*x))/30

Common denominator [src]

          /       ____                  \
  ____    |     \/ 15           3*x     |
\/ 15 *log|- ------------ + ------------|
          |    ____           ____      |
          \  \/ 15  + 3*x   \/ 15  + 3*x/
-----------------------------------------
                    30

$$\frac{\sqrt{15} \log{\left(\frac{3 x}{3 x + \sqrt{15}} - \frac{\sqrt{15}}{3 x + \sqrt{15}} \right)}}{30}$$

sqrt(15)*log(-sqrt(15)/(sqrt(15) + 3*x) + 3*x/(sqrt(15) + 3*x))/30

Powers [src]

          /      ____      \
  ____    |- 2*\/ 15  + 6*x|
\/ 15 *log|----------------|
          |     ____       |
          \ 2*\/ 15  + 6*x /
----------------------------
             30

$$\frac{\sqrt{15} \log{\left(\frac{6 x - 2 \sqrt{15}}{6 x + 2 \sqrt{15}} \right)}}{30}$$

sqrt(15)*log((-2*sqrt(15) + 6*x)/(2*sqrt(15) + 6*x))/30

Combining rational expressions [src]

          /    ____      \
  ____    |- \/ 15  + 3*x|
\/ 15 *log|--------------|
          |   ____       |
          \ \/ 15  + 3*x /
--------------------------
            30

$$\frac{\sqrt{15} \log{\left(\frac{3 x - \sqrt{15}}{3 x + \sqrt{15}} \right)}}{30}$$

sqrt(15)*log((-sqrt(15) + 3*x)/(sqrt(15) + 3*x))/30

Expand expression [src]

          /          ____\
  ____    |6*x - 2*\/ 15 |
\/ 15 *log|--------------|
          |    ____      |
          \2*\/ 15  + 6*x/
--------------------------
            30

$$\frac{\sqrt{15} \log{\left(\frac{6 x - 2 \sqrt{15}}{6 x + 2 \sqrt{15}} \right)}}{30}$$

sqrt(15)*log((6*x - 2*sqrt(15))/(2*sqrt(15) + 6*x))/30

Assemble expression [src]

          /          ____\
  ____    |6*x - 2*\/ 15 |
\/ 15 *log|--------------|
          |    ____      |
          \2*\/ 15  + 6*x/
--------------------------
            30

$$\frac{\sqrt{15} \log{\left(\frac{6 x - 2 \sqrt{15}}{6 x + 2 \sqrt{15}} \right)}}{30}$$

sqrt(15)*log((6*x - 2*sqrt(15))/(2*sqrt(15) + 6*x))/30

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How to use it?

Identical expressions

Similar expressions

Least common denominator log((6*x-2*sqrt(15))/(2*sqrt(15)+6*x))/(2*sqrt(15))

The solution

Least common denominator log((6x-2sqrt(15))/(2sqrt(15)+6x))/(2*sqrt(15))