SOLUTION: 4z - 1 / 4z^2 + 23z - 6

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Question 154561: 4z - 1 / 4z^2 + 23z - 6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284z-1%29%2F%284z%5E2%2B23z-6%29 Start with the given expression.


%284z-1%29%2F%28%28z%2B6%29%284z-1%29%29 Factor 4z%5E2%2B23z-6 to get %28z%2B6%29%284z-1%29.


highlight%28%284z-1%29%29%2F%28%28z%2B6%29highlight%28%284z-1%29%29%29 Highlight the common terms.


cross%28%284z-1%29%29%2F%28%28z%2B6%29cross%28%284z-1%29%29%29 Cancel out the common terms.


%281%29%2F%28z%2B6%29 Simplify.


So %284z-1%29%2F%284z%5E2%2B23z-6%29 simplifies to %281%29%2F%28z%2B6%29.


In other words, %284z-1%29%2F%284z%5E2%2B23z-6%29=%281%29%2F%28z%2B6%29 where z%3C%3E-6 or z%3C%3E1%2F4