SOLUTION: (multiply and write answer in descending order of the variable) (2x+3)(x-2)

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Question 553035: (multiply and write answer in descending order of the variable)
(2x+3)(x-2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282x%2B3%29%28x-2%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%2B3%29%28highlight%28x%29-2%29 Multiply the First terms:%282%2Ax%29%2A%28x%29=2%2Ax%5E2.


%28highlight%282x%29%2B3%29%28x%2Bhighlight%28-2%29%29 Multiply the Outer terms:%282%2Ax%29%2A%28-2%29=-4%2Ax.


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


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


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So we have the terms: 2%2Ax%5E2, -4%2Ax, 3%2Ax, -6


2%2Ax%5E2-4%2Ax%2B3%2Ax-6 Now add every term listed above to make a single expression.


2x%5E2-x-6 Now combine like terms.


So %282x%2B3%29%28x-2%29 FOILs to 2x%5E2-x-6.


In other words, %282x%2B3%29%28x-2%29=2x%5E2-x-6.