SOLUTION: What is the product of the expression (3x+2)(3x-5)?

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Question 629067: What is the product of the expression (3x+2)(3x-5)?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x%2B2%29%283x-5%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%283x%29%2B2%29%28highlight%283x%29-5%29 Multiply the First terms:%283%2Ax%29%2A%283%2Ax%29=9%2Ax%5E2.


%28highlight%283x%29%2B2%29%283x%2Bhighlight%28-5%29%29 Multiply the Outer terms:%283%2Ax%29%2A%28-5%29=-15%2Ax.


%283x%2Bhighlight%282%29%29%28highlight%283x%29-5%29 Multiply the Inner terms:%282%29%2A%283%2Ax%29=6%2Ax.


%283x%2Bhighlight%282%29%29%283x%2Bhighlight%28-5%29%29 Multiply the Last terms:%282%29%2A%28-5%29=-10.


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So we have the terms: 9%2Ax%5E2, -15%2Ax, 6%2Ax, -10


9%2Ax%5E2-15%2Ax%2B6%2Ax-10 Now add every term listed above to make a single expression.


9x%5E2-9x-10 Now combine like terms.


So %283x%2B2%29%283x-5%29 FOILs to 9x%5E2-9x-10.


In other words, %283x%2B2%29%283x-5%29=9x%5E2-9x-10.

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