Mister Exam
Least common denominator (z/b+b/z)/z2+b2/6*z10*b
The solution
You have entered
[src]
z b - + - b z b2 ----- + --*z10*b z2 6
$$b z_{10} \frac{b_{2}}{6} + \frac{\frac{b}{z} + \frac{z}{b}}{z_{2}}$$
(z/b + b/z)/z2 + ((b2/6)*z10)*b
General simplification
[src]
b z b*b2*z10 ---- + ---- + -------- z*z2 b*z2 6
$$\frac{b b_{2} z_{10}}{6} + \frac{b}{z z_{2}} + \frac{z}{b z_{2}}$$
b/(z*z2) + z/(b*z2) + b*b2*z10/6
Trigonometric part
[src]
b z - + - z b b*b2*z10 ----- + -------- z2 6
$$\frac{b b_{2} z_{10}}{6} + \frac{\frac{b}{z} + \frac{z}{b}}{z_{2}}$$
(b/z + z/b)/z2 + b*b2*z10/6
Common denominator
[src]
2 2 b*b2*z10 b + z -------- + ------- 6 b*z*z2
$$\frac{b b_{2} z_{10}}{6} + \frac{b^{2} + z^{2}}{b z z_{2}}$$
b*b2*z10/6 + (b^2 + z^2)/(b*z*z2)
Powers
[src]
b z - + - z b b*b2*z10 ----- + -------- z2 6
$$\frac{b b_{2} z_{10}}{6} + \frac{\frac{b}{z} + \frac{z}{b}}{z_{2}}$$
(b/z + z/b)/z2 + b*b2*z10/6
Assemble expression
[src]
b z - + - z b b*b2*z10 ----- + -------- z2 6
$$\frac{b b_{2} z_{10}}{6} + \frac{\frac{b}{z} + \frac{z}{b}}{z_{2}}$$
(b/z + z/b)/z2 + b*b2*z10/6
Numerical answer
[src]
(b/z + z/b)/z2 + 0.166666666666667*b*b2*z10
(b/z + z/b)/z2 + 0.166666666666667*b*b2*z10
Combinatorics
[src]
2 2 2
6*b + 6*z + b2*z*z10*z2*b
----------------------------
6*b*z*z2
$$\frac{b^{2} b_{2} z z_{10} z_{2} + 6 b^{2} + 6 z^{2}}{6 b z z_{2}}$$
(6*b^2 + 6*z^2 + b2*z*z10*z2*b^2)/(6*b*z*z2)
Rational denominator
[src]
2 2 2
6*b + 6*z + b2*z*z10*z2*b
----------------------------
6*b*z*z2
$$\frac{b^{2} b_{2} z z_{10} z_{2} + 6 b^{2} + 6 z^{2}}{6 b z z_{2}}$$
(6*b^2 + 6*z^2 + b2*z*z10*z2*b^2)/(6*b*z*z2)
Combining rational expressions
[src]
2 2 2
6*b + 6*z + b2*z*z10*z2*b
----------------------------
6*b*z*z2
$$\frac{b^{2} b_{2} z z_{10} z_{2} + 6 b^{2} + 6 z^{2}}{6 b z z_{2}}$$
(6*b^2 + 6*z^2 + b2*z*z10*z2*b^2)/(6*b*z*z2)