SOLUTION: How would i solve this problem? (4b-9)(7b-6)

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Question 604427: How would i solve this problem?
(4b-9)(7b-6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284b-9%29%287b-6%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%284b%29-9%29%28highlight%287b%29-6%29 Multiply the First terms:%284%2Ab%29%2A%287%2Ab%29=28%2Ab%5E2.


%28highlight%284b%29-9%29%287b%2Bhighlight%28-6%29%29 Multiply the Outer terms:%284%2Ab%29%2A%28-6%29=-24%2Ab.


%284b%2Bhighlight%28-9%29%29%28highlight%287b%29-6%29 Multiply the Inner terms:%28-9%29%2A%287%2Ab%29=-63%2Ab.


%284b%2Bhighlight%28-9%29%29%287b%2Bhighlight%28-6%29%29 Multiply the Last terms:%28-9%29%2A%28-6%29=54.


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So we have the terms: 28%2Ab%5E2, -24%2Ab, -63%2Ab, 54


28%2Ab%5E2-24%2Ab-63%2Ab%2B54 Now add every term listed above to make a single expression.


28b%5E2-87b%2B54 Now combine like terms.


So %284b-9%29%287b-6%29 FOILs to 28b%5E2-87b%2B54.


In other words, %284b-9%29%287b-6%29=28b%5E2-87b%2B54.


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