SOLUTION: How do you solve this problem (5v-4)(6v+6)

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Question 221938: How do you solve this problem
(5v-4)(6v+6)
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: FOIL (ie Expand) Two Binomials


%285v-4%29%286v%2B6%29 Start with the given expression



Now let's FOIL the expression




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



%28highlight%285v%29-4%29%28highlight%286v%29%2B6%29 Multiply the First terms:%285v%29%2A%286v%29=30v%5E2



%28highlight%285v%29-4%29%286v%2Bhighlight%286%29%29 Multiply the Outer terms:%285v%29%2A%286%29=30v



%285v%2Bhighlight%28-4%29%29%28highlight%286v%29%2B6%29 Multiply the Inner terms:%28-4%29%2A%286v%29=-24v



%285v%2Bhighlight%28-4%29%29%286v%2Bhighlight%286%29%29 Multiply the Last terms:%28-4%29%2A%286%29=-24



30v%5E2%2B30v-24v-24 Now collect every term to make a single expression




30v%5E2%2B6v-24 Now combine like terms



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Answer:

So %285v-4%29%286v%2B6%29 FOILs and simplifies to 30v%5E2%2B6v-24


In other words, %285v-4%29%286v%2B6%29=30v%5E2%2B6v-24





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