SOLUTION: expand and simplify: (12+q)(2-q)

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Question 551191: expand and simplify: (12+q)(2-q)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%2812%2Bq%29%282-q%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%2812%29%2Bq%29%28highlight%282%29-q%29 Multiply the First terms:%2812%29%2A%282%29=24.


%28highlight%2812%29%2Bq%29%282%2Bhighlight%28-q%29%29 Multiply the Outer terms:%2812%29%2A%28-q%29=-12%2Aq.


%2812%2Bhighlight%28q%29%29%28highlight%282%29-q%29 Multiply the Inner terms:%28q%29%2A%282%29=2%2Aq.


%2812%2Bhighlight%28q%29%29%282%2Bhighlight%28-q%29%29 Multiply the Last terms:%28q%29%2A%28-q%29=-q%5E2.


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So we have the terms: 24, -12%2Aq, 2%2Aq, -q%5E2


24-12%2Aq%2B2%2Aq-q%5E2 Now add every term listed above to make a single expression.


24-10q-q%5E2 Now combine like terms.


So %2812%2Bq%29%282-q%29 FOILs to 24-10q-q%5E2.


In other words, %2812%2Bq%29%282-q%29=24-10q-q%5E2.