SOLUTION: Use FOIL to multiply: (5x – 8)(x – 7)

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Question 109384: Use FOIL to multiply:
(5x – 8)(x – 7)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285x-8%29%28x-7%29 Start with the given expression

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


Multiply the First terms:%285x%29%2A%28x%29=5x%5E2


Multiply the Outer terms:%285x%29%2A%28-7%29=-35x


Multiply the Inner terms:%28-8%29%2A%28x%29=-8x


Multiply the Last terms:%28-8%29%2A%28-7%29=56


5x%5E2-35x-8x%2B56 Now collect every term to make a single expression



5x%5E2-43x%2B56 Now combine like terms

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Answer:
So %285x-8%29%28x-7%29 foils and simplifies to 5x%5E2-43x%2B56

In other words, %285x-8%29%28x-7%29=5x%5E2-43x%2B56

Notice how 5x%5E2-43x%2B56 factors back to the original expression %285x-8%29%28x-7%29 (if you need help with factoring, check out this solver). So this verifies our answer.