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Factor polynomial z^2-4*z+16*z^2/16

An expression to simplify:

The solution

You have entered [src]
               2
 2         16*z 
z  - 4*z + -----
             16 
$$\frac{16 z^{2}}{16} + \left(z^{2} - 4 z\right)$$
z^2 - 4*z + (16*z^2)/16
Factorization [src]
x*(x - 2)
$$x \left(x - 2\right)$$
x*(x - 2)
General simplification [src]
2*z*(-2 + z)
$$2 z \left(z - 2\right)$$
2*z*(-2 + z)
Fraction decomposition [src]
-4*z + 2*z^2
$$2 z^{2} - 4 z$$
          2
-4*z + 2*z 
Numerical answer [src]
2.0*z^2 - 4.0*z
2.0*z^2 - 4.0*z
Powers [src]
          2
-4*z + 2*z 
$$2 z^{2} - 4 z$$
-4*z + 2*z^2
Assemble expression [src]
          2
-4*z + 2*z 
$$2 z^{2} - 4 z$$
-4*z + 2*z^2
Combinatorics [src]
2*z*(-2 + z)
$$2 z \left(z - 2\right)$$
2*z*(-2 + z)
Combining rational expressions [src]
2*z*(-2 + z)
$$2 z \left(z - 2\right)$$
2*z*(-2 + z)
Rational denominator [src]
            2
-64*z + 32*z 
-------------
      16     
$$\frac{32 z^{2} - 64 z}{16}$$
(-64*z + 32*z^2)/16
Common denominator [src]
          2
-4*z + 2*z 
$$2 z^{2} - 4 z$$
-4*z + 2*z^2
Trigonometric part [src]
          2
-4*z + 2*z 
$$2 z^{2} - 4 z$$
-4*z + 2*z^2