SOLUTION: (5x-6)(x+2)

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Question 528500: (5x-6)(x+2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285x-6%29%28x%2B2%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%285x%29-6%29%28highlight%28x%29%2B2%29 Multiply the First terms:%285%2Ax%29%2A%28x%29=5%2Ax%5E2.


%28highlight%285x%29-6%29%28x%2Bhighlight%282%29%29 Multiply the Outer terms:%285%2Ax%29%2A%282%29=10%2Ax.


%285x%2Bhighlight%28-6%29%29%28highlight%28x%29%2B2%29 Multiply the Inner terms:%28-6%29%2A%28x%29=-6%2Ax.


%285x%2Bhighlight%28-6%29%29%28x%2Bhighlight%282%29%29 Multiply the Last terms:%28-6%29%2A%282%29=-12.


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So we have the terms: 5%2Ax%5E2, 10%2Ax, -6%2Ax, -12


5%2Ax%5E2%2B10%2Ax-6%2Ax-12 Now add every term listed above to make a single expression.


5x%5E2%2B4x-12 Now combine like terms.


So %285x-6%29%28x%2B2%29 FOILs to 5x%5E2%2B4x-12.


In other words, %285x-6%29%28x%2B2%29=5x%5E2%2B4x-12.



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