SOLUTION: (2x - 3)(3x + 2)

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Question 603558: (2x - 3)(3x + 2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282x-3%29%283x%2B2%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%282x%29-3%29%28highlight%283x%29%2B2%29 Multiply the First terms:%282%2Ax%29%2A%283%2Ax%29=6%2Ax%5E2.


%28highlight%282x%29-3%29%283x%2Bhighlight%282%29%29 Multiply the Outer terms:%282%2Ax%29%2A%282%29=4%2Ax.


%282x%2Bhighlight%28-3%29%29%28highlight%283x%29%2B2%29 Multiply the Inner terms:%28-3%29%2A%283%2Ax%29=-9%2Ax.


%282x%2Bhighlight%28-3%29%29%283x%2Bhighlight%282%29%29 Multiply the Last terms:%28-3%29%2A%282%29=-6.


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So we have the terms: 6%2Ax%5E2, 4%2Ax, -9%2Ax, -6


6%2Ax%5E2%2B4%2Ax-9%2Ax-6 Now add every term listed above to make a single expression.


6x%5E2-5x-6 Now combine like terms.


So %282x-3%29%283x%2B2%29 FOILs to 6x%5E2-5x-6.


In other words, %282x-3%29%283x%2B2%29=6x%5E2-5x-6.