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Least common denominator (z/b-b/z)*6*z*b/(z+b)

An expression to simplify:

The solution

You have entered [src]
/z   b\      
|- - -|*6*z*b
\b   z/      
-------------
    z + b    
$$\frac{b z 6 \left(- \frac{b}{z} + \frac{z}{b}\right)}{b + z}$$
((((z/b - b/z)*6)*z)*b)/(z + b)
General simplification [src]
-6*b + 6*z
$$- 6 b + 6 z$$
-6*b + 6*z
Trigonometric part [src]
    /  6*b   6*z\
b*z*|- --- + ---|
    \   z     b /
-----------------
      b + z      
$$\frac{b z \left(- \frac{6 b}{z} + \frac{6 z}{b}\right)}{b + z}$$
b*z*(-6*b/z + 6*z/b)/(b + z)
Combining rational expressions [src]
     2      2
- 6*b  + 6*z 
-------------
    b + z    
$$\frac{- 6 b^{2} + 6 z^{2}}{b + z}$$
(-6*b^2 + 6*z^2)/(b + z)
Powers [src]
    /  6*b   6*z\
b*z*|- --- + ---|
    \   z     b /
-----------------
      b + z      
$$\frac{b z \left(- \frac{6 b}{z} + \frac{6 z}{b}\right)}{b + z}$$
b*z*(-6*b/z + 6*z/b)/(b + z)
Numerical answer [src]
b*z*(6.0*z/b - 6.0*b/z)/(b + z)
b*z*(6.0*z/b - 6.0*b/z)/(b + z)
Assemble expression [src]
    /  6*b   6*z\
b*z*|- --- + ---|
    \   z     b /
-----------------
      b + z      
$$\frac{b z \left(- \frac{6 b}{z} + \frac{6 z}{b}\right)}{b + z}$$
b*z*(-6*b/z + 6*z/b)/(b + z)
Rational denominator [src]
     2      2
- 6*b  + 6*z 
-------------
    b + z    
$$\frac{- 6 b^{2} + 6 z^{2}}{b + z}$$
(-6*b^2 + 6*z^2)/(b + z)
Common denominator [src]
-6*b + 6*z
$$- 6 b + 6 z$$
-6*b + 6*z
Combinatorics [src]
-6*b + 6*z
$$- 6 b + 6 z$$
-6*b + 6*z