Simplify:

z3 - 4z /z2 - 4z + 4

Question

Simplify:  

z3 - 4z /z2 - 4z + 4

anonymous · Answer

That us supposed to be z^3, and z^2
sorry for the typo

tkhunny · Answer

Do you remember the Order of Operations?

anonymous · Answer

pemdas

tkhunny · Answer

Right.  Remembering this, you need to see that you just wrote $z^{3} - \dfrac{4z}{z^{2}} - 4z + 4$.  Do you see that?

anonymous · Answer

no thats not how it is wrote it is z^3-4z (numerator) / z^2-4z+4 (denominator)

tkhunny · Answer

You are not seeing it.  What you wrote is what I displayed.  You can simply add parentheses to make it more clear.

(z3 - 4z) /(z2 - 4z + 4)

In any case, you need to pull out your Factoring Genius Hat!  I'll do the numerator.

$\dfrac{z^{3} - 4z}{z^{2} - 4z + 4} = \dfrac{z(z^{2} - 4)}{z^{2} - 4z + 4} = \dfrac{z(z+2)(z-2)}{z^{2} - 4z + 4}$

You do the denominator.

anonymous · Answer

would the answer come out to be z(z+2)/z-2 ?

anonymous · Answer

tkhunny?

tkhunny · Answer

Except for the missing parentheses in the denominator, again.  Can't convince you, can I?