SOLUTION: find the gcf of the product (15y+20)(15y+21) and help would be helpful. Thank you

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Question 376624: find the gcf of the product (15y+20)(15y+21)
and help would be helpful. Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%2815y%2B20%29%2815y%2B21%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%2815y%29%2B20%29%28highlight%2815y%29%2B21%29 Multiply the First terms:%2815%2Ay%29%2A%2815%2Ay%29=225%2Ay%5E2.


%28highlight%2815y%29%2B20%29%2815y%2Bhighlight%2821%29%29 Multiply the Outer terms:%2815%2Ay%29%2A%2821%29=315%2Ay.


%2815y%2Bhighlight%2820%29%29%28highlight%2815y%29%2B21%29 Multiply the Inner terms:%2820%29%2A%2815%2Ay%29=300%2Ay.


%2815y%2Bhighlight%2820%29%29%2815y%2Bhighlight%2821%29%29 Multiply the Last terms:%2820%29%2A%2821%29=420.


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So we have the terms: 225%2Ay%5E2, 315%2Ay, 300%2Ay, 420


225%2Ay%5E2%2B315%2Ay%2B300%2Ay%2B420 Now add every term listed above to make a single expression.


225%2Ay%5E2%2B615%2Ay%2B420 Now combine like terms.


So %2815y%2B20%29%2815y%2B21%29 FOILs to 225%2Ay%5E2%2B615%2Ay%2B420.


In other words, %2815y%2B20%29%2815y%2B21%29=225%2Ay%5E2%2B615%2Ay%2B420.


Now because the number 3 is the GCF of all the terms, this means that the GCF is 3.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim