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Expression simplification/ Fraction Decomposition into the simple/ ((z)-((7*z)/(z+3)))*((z+3)/(z-4))

How do you ((z)-((7*z)/(z+3)))*((z+3)/(z-4)) in partial fractions?

An expression to simplify:

The solution

You have entered [src] 
/     7*z \ z + 3
|z - -----|*-----
\    z + 3/ z - 4
$$\frac{z + 3}{z - 4} \left(z - \frac{7 z}{z + 3}\right)$$ 
(z - 7*z/(z + 3))*((z + 3)/(z - 4))
General simplification [src] 
z
$$z$$ 
z
Fraction decomposition [src] 
z
$$z$$ 
z
Assemble expression [src] 
        /     7*z \
(3 + z)*|z - -----|
        \    3 + z/
-------------------
       -4 + z
$$\frac{\left(z + 3\right) \left(z - \frac{7 z}{z + 3}\right)}{z - 4}$$ 
(3 + z)*(z - 7*z/(3 + z))/(-4 + z)
Trigonometric part [src] 
        /     7*z \
(3 + z)*|z - -----|
        \    3 + z/
-------------------
       -4 + z
$$\frac{\left(z + 3\right) \left(z - \frac{7 z}{z + 3}\right)}{z - 4}$$ 
(3 + z)*(z - 7*z/(3 + z))/(-4 + z)
Common denominator [src] 
z
$$z$$ 
z
Rational denominator [src] 
-7*z + z*(3 + z)
----------------
     -4 + z
$$\frac{z \left(z + 3\right) - 7 z}{z - 4}$$ 
(-7*z + z*(3 + z))/(-4 + z)
Numerical answer [src] 
(3.0 + z)*(z - 7.0*z/(3.0 + z))/(-4.0 + z)
(3.0 + z)*(z - 7.0*z/(3.0 + z))/(-4.0 + z)
Combining rational expressions [src] 
z
$$z$$ 
z
Combinatorics [src] 
z
$$z$$ 
z
Powers [src] 
        /     7*z \
(3 + z)*|z - -----|
        \    3 + z/
-------------------
       -4 + z
$$\frac{\left(z + 3\right) \left(z - \frac{7 z}{z + 3}\right)}{z - 4}$$ 
(3 + z)*(z - 7*z/(3 + z))/(-4 + z)
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