SOLUTION: find the GCF of the product. (3b+6)(2b-10) i think it is 6.

Algebra ->  Expressions-with-variables -> SOLUTION: find the GCF of the product. (3b+6)(2b-10) i think it is 6.       Log On


   

Question 120033: find the GCF of the product. (3b+6)(2b-10)
i think it is 6.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283b%2B6%29%282b-10%29 Start with the given expression


Now let's foil the expression

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


%28highlight%283b%29%2B6%29%28highlight%282b%29-10%29 Multiply the First terms:%283b%29%2A%282b%29=6b%5E2


%28highlight%283b%29%2B6%29%282b%2Bhighlight%28-10%29%29 Multiply the Outer terms:%283b%29%2A%28-10%29=-30b


%283b%2Bhighlight%286%29%29%28highlight%282b%29-10%29 Multiply the Inner terms:%286%29%2A%282b%29=12b


%283b%2Bhighlight%286%29%29%282b%2Bhighlight%28-10%29%29 Multiply the Last terms:%286%29%2A%28-10%29=-60


6b%5E2-30b%2B12b-60 Now collect every term to make a single expression



6b%5E2-18b-60 Now combine like terms


So %283b%2B6%29%282b-10%29 foils and simplifies to 6b%5E2-18b-60

In other words, %283b%2B6%29%282b-10%29=6b%5E2-18b-60


Now notice how the GCF of 6b%5E2-18b-60 is 6. So you are correct.