SOLUTION: Simplify. (z-8)(z+3)

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Question 182078: Simplify.
(z-8)(z+3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28z-8%29%28z%2B3%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28z%29-8%29%28highlight%28z%29%2B3%29 Multiply the First terms:%28z%29%2A%28z%29=z%5E2.


%28highlight%28z%29-8%29%28z%2Bhighlight%283%29%29 Multiply the Outer terms:%28z%29%2A%283%29=3%2Az.


%28z%2Bhighlight%28-8%29%29%28highlight%28z%29%2B3%29 Multiply the Inner terms:%28-8%29%2A%28z%29=-8%2Az.


%28z%2Bhighlight%28-8%29%29%28z%2Bhighlight%283%29%29 Multiply the Last terms:%28-8%29%2A%283%29=-24.


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z%5E2%2B3%2Az-8%2Az-24 Now collect every term to make a single expression.


z%5E2-5%2Az-24 Now combine like terms.


So %28z-8%29%28z%2B3%29 FOILs to z%5E2-5%2Az-24.


In other words, %28z-8%29%28z%2B3%29=z%5E2-5%2Az-24.