Question 153362: Can you please help me expand this set of numbers?
(3x-5)(2x+7)
Found 3 solutions by stanbon, Edwin McCravy, Electrified_Levi:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! expand this set of numbers?
(3x-5)(2x+7)
Use FOIL:
F: 3x * 2x = 6x^2
O: 3x * 7 = 21x
I: -5*2x = -10x
L: -5*7 = -35
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Combine those four terms to get:
6x^2 + 11x -35
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Cheers,
Stan H.
Answer by Edwin McCravy(20055)  (Show Source):
You can put this solution on YOUR website! Can you please help me expand this set of numbers?
(3x-5)(2x+7)
Remember the word "FOIL"
The F stands for FIRST.
The FIRST term in (3x-5) is the 3x.
The FIRST term in (2x+7) is the 2x.
So the FIRSTS are in red below:
(3x-5)(2x+7)
Multiply them together and get (3x)(2x) = 6x²
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The O stands for OUTERS.
The OUTER terms are in green below:
(3x-5)(2x+7)
Notice that they are on the OUTSIDE.
Multiply them together and get (3x)(+7) = +21x
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The I stands for INNERS.
The INNER terms are in purple below:
(3x-5)(2x+7)
Notice that they are on the INSIDE.
Multiply them together and get (-5)(2x) = -10x
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The L stands for LASTS.
The LAST term in (3x-5) is the -5.
The LAST term in (2x+7) is the +7.
So the LASTS are in blue below:
(3x-5)(2x+7)
Multiply them together and get (-5)(+7) = -35
Now we write them in that order FOIL
6x²+21x-10x-35
Now the middle two terms will combine and we end up with:
6x²+11x-35
Edwin
Answer by Electrified_Levi(103) (Show Source):
You can put this solution on YOUR website! Hi, Hope I can help,
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Can you please help me expand this set of numbers?
(3x-5)(2x+7)
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To expand these numbers we will use a method called the FOIL method ( First, Inner, Outer, Last)
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This is how, you multiply the numbers, and add them together
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Remember that it is a negative 5, not positive( a minus sign in front of a number/variable means it is a negative number), and there is a positive 7( a plus sign, means it is a positive number)
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Multiply the highlighted numbers in each equation
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 ( Since it is a (-5))
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 ( Since it is a (-5))
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We can now add our four answers together
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We can add/subtract like terms( we will add the "x's" together)
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It will become
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 = 
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is your answer, Remember (FOIL)(First, Inner, Outer, Last)
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is your answer
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Hope I helped, Levi
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