General simplification
[src]
-2 + 7*z
------------
2*(-4 + 3*z)
$$\frac{7 z - 2}{2 \left(3 z - 4\right)}$$
(-2 + 7*z)/(2*(-4 + 3*z))
Fraction decomposition
[src]
$$\frac{7}{6} + \frac{11}{3 \left(3 z - 4\right)}$$
7 11
- + ------------
6 3*(-4 + 3*z)
Rational denominator
[src]
(1 + 2*z)*(4 + 2*z) + (-4 + 3*z)*(2 + z)
----------------------------------------
(-4 + 3*z)*(4 + 2*z)
$$\frac{\left(z + 2\right) \left(3 z - 4\right) + \left(2 z + 1\right) \left(2 z + 4\right)}{\left(2 z + 4\right) \left(3 z - 4\right)}$$
((1 + 2*z)*(4 + 2*z) + (-4 + 3*z)*(2 + z))/((-4 + 3*z)*(4 + 2*z))
-2 + 7*z
------------
2*(-4 + 3*z)
$$\frac{7 z - 2}{2 \left(3 z - 4\right)}$$
(-2 + 7*z)/(2*(-4 + 3*z))
(2.0 + z)/(4.0 + 2.0*z) + (1.0 + 2.0*z)/(-4.0 + 3.0*z)
(2.0 + z)/(4.0 + 2.0*z) + (1.0 + 2.0*z)/(-4.0 + 3.0*z)
Combining rational expressions
[src]
-2 + 7*z
------------
2*(-4 + 3*z)
$$\frac{7 z - 2}{2 \left(3 z - 4\right)}$$
(-2 + 7*z)/(2*(-4 + 3*z))
7 11
- + ---------
6 -12 + 9*z
$$\frac{7}{6} + \frac{11}{9 z - 12}$$