Mister Exam
Least common denominator (z/x*x-3*x)/(z*z/3*x-9)
The solution
You have entered
[src]
z -*x - 3*x x --------- z*z ---*x - 9 3
$$\frac{x \frac{z}{x} - 3 x}{x \frac{z z}{3} - 9}$$
((z/x)*x - 3*x)/(((z*z)/3)*x - 9)
General simplification
[src]
3*(z - 3*x)
-----------
2
-27 + x*z
$$\frac{3 \left(- 3 x + z\right)}{x z^{2} - 27}$$
3*(z - 3*x)/(-27 + x*z^2)
Combining rational expressions
[src]
3*(z - 3*x)
-----------
2
-27 + x*z
$$\frac{3 \left(- 3 x + z\right)}{x z^{2} - 27}$$
3*(z - 3*x)/(-27 + x*z^2)
Common denominator
[src]
-(-3*z + 9*x)
--------------
2
-27 + x*z
$$- \frac{9 x - 3 z}{x z^{2} - 27}$$
-(-3*z + 9*x)/(-27 + x*z^2)
Trigonometric part
[src]
z - 3*x
---------
2
x*z
-9 + ----
3
$$\frac{- 3 x + z}{\frac{x z^{2}}{3} - 9}$$
(z - 3*x)/(-9 + x*z^2/3)
Rational denominator
[src]
2 - 9*x + 3*x*z -------------- / 2\ x*\-27 + x*z /
$$\frac{- 9 x^{2} + 3 x z}{x \left(x z^{2} - 27\right)}$$
(-9*x^2 + 3*x*z)/(x*(-27 + x*z^2))
Powers
[src]
z - 3*x
---------
2
x*z
-9 + ----
3
$$\frac{- 3 x + z}{\frac{x z^{2}}{3} - 9}$$
(z - 3*x)/(-9 + x*z^2/3)
Combinatorics
[src]
-3*(-z + 3*x)
-------------
2
-27 + x*z
$$- \frac{3 \left(3 x - z\right)}{x z^{2} - 27}$$
-3*(-z + 3*x)/(-27 + x*z^2)
Numerical answer
[src]
(z - 3.0*x)/(-9.0 + 0.333333333333333*x*z^2)
(z - 3.0*x)/(-9.0 + 0.333333333333333*x*z^2)
Assemble expression
[src]
z - 3*x
---------
2
x*z
-9 + ----
3
$$\frac{- 3 x + z}{\frac{x z^{2}}{3} - 9}$$
(z - 3*x)/(-9 + x*z^2/3)