SOLUTION: can you expand this: (4z-3)^2

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Question 550566: can you expand this: (4z-3)^2
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284z-3%29%5E2 Start with the given expression.


%284z-3%29%284z-3%29 Expand. Remember something like x%5E2=x%2Ax.


Now let's FOIL the expression.


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


%28highlight%284z%29-3%29%28highlight%284z%29-3%29 Multiply the First terms:%284%2Az%29%2A%284%2Az%29=16%2Az%5E2.


%28highlight%284z%29-3%29%284z%2Bhighlight%28-3%29%29 Multiply the Outer terms:%284%2Az%29%2A%28-3%29=-12%2Az.


%284z%2Bhighlight%28-3%29%29%28highlight%284z%29-3%29 Multiply the Inner terms:%28-3%29%2A%284%2Az%29=-12%2Az.


%284z%2Bhighlight%28-3%29%29%284z%2Bhighlight%28-3%29%29 Multiply the Last terms:%28-3%29%2A%28-3%29=9.


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So we have the terms: 16%2Az%5E2, -12%2Az, -12%2Az, 9


16%2Az%5E2-12%2Az-12%2Az%2B9 Now add every term listed above to make a single expression.


16z%5E2-24z%2B9 Now combine like terms.


So %284z-3%29%5E2 FOILs to 16z%5E2-24z%2B9.


In other words, %284z-3%29%5E2=16z%5E2-24z%2B9.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
expand this: (4z-3)^2
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(4z-3)(4z-3)
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= 4z(4z-3)-3(4z-3)
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= 16z^2-12z-12z+9
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= 16z^2-24z+9
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Cheers,
Stan H.
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