SOLUTION: Hi can you please help me with the following problem I am stuck. Multiply (8z - u)(3z + 4u) Thanks

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Question 333886: Hi can you please help me with the following problem I am stuck.
Multiply
(8z - u)(3z + 4u)
Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%288z-u%29%283z%2B4u%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%288z%29-u%29%28highlight%283z%29%2B4u%29 Multiply the First terms:%288z%29%283z%29=24z%5E2.


%28highlight%288z%29-u%29%283z%2Bhighlight%284u%29%29 Multiply the Outer terms:%288z%29%284u%29=32zu.


%288z%2Bhighlight%28-u%29%29%28highlight%283z%29%2B4u%29 Multiply the Inner terms:%28-u%29%283z%29=-3zu.


%288z%2Bhighlight%28-u%29%29%283z%2Bhighlight%284u%29%29 Multiply the Last terms:%28-u%29%284u%29=-4u%5E2.


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So we have the terms: 24z%5E2, 32zu, -3zu, -4u%5E2


24z%5E2%2B32zu-3zu-4u%5E2 Now add every term listed above to make a single expression.


24z%5E2%2B29zu-4u%5E2 Now combine like terms.


So %288z-u%29%283z%2B4u%29 FOILs to 24z%5E2%2B29zu-4u%5E2.


In other words, %288z-u%29%283z%2B4u%29=24z%5E2%2B29zu-4u%5E2.