SOLUTION: how to solve this problem? (q+5)(5q-1)

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Question 597290: how to solve this problem? (q+5)(5q-1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28q%2B5%29%285q-1%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28q%29%2B5%29%28highlight%285q%29-1%29 Multiply the First terms:%28q%29%2A%285%2Aq%29=5%2Aq%5E2.


%28highlight%28q%29%2B5%29%285q%2Bhighlight%28-1%29%29 Multiply the Outer terms:%28q%29%2A%28-1%29=-q.


%28q%2Bhighlight%285%29%29%28highlight%285q%29-1%29 Multiply the Inner terms:%285%29%2A%285%2Aq%29=25%2Aq.


%28q%2Bhighlight%285%29%29%285q%2Bhighlight%28-1%29%29 Multiply the Last terms:%285%29%2A%28-1%29=-5.


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So we have the terms: 5%2Aq%5E2, -q, 25%2Aq, -5


5%2Aq%5E2-q%2B25%2Aq-5 Now add every term listed above to make a single expression.


5q%5E2%2B24q-5 Now combine like terms.


So %28q%2B5%29%285q-1%29 FOILs to 5q%5E2%2B24q-5.


In other words, %28q%2B5%29%285q-1%29=5q%5E2%2B24q-5 for all values of 'q'.