SOLUTION: Write the expressioin in lowest terms z³+64 over z³-4z²+16z

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Question 172432: Write the expressioin in lowest terms
z³+64
over
z³-4z²+16z
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28z%5E3%2B64%29%2F%28z%5E3-4z%5E2%2B16z%29 Start with the given expression


%28%28z%2B4%29%28z%5E2-4z%2B16%29%29%2F%28z%5E3-4z%5E2%2B16z%29 Factor the numerator through the use of the sum of cubes formula


%28%28z%2B4%29%28z%5E2-4z%2B16%29%29%2F%28z%28z%5E2-4z%2B16%29%29 Factor out the GCF "z" from the numerator


Highlight the common terms.


%28%28z%2B4%29cross%28%28z%5E2-4z%2B16%29%29%29%2F%28z%2Across%28%28z%5E2-4z%2B16%29%29%29 Cancel out the common terms.


%28z%2B4%29%2Fz Simplify


So %28z%5E3%2B64%29%2F%28z%5E3-4z%5E2%2B16z%29 simplifies to %28z%2B4%29%2Fz