SOLUTION: Factor 27x^3+216

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Question 549844: Factor 27x^3+216
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

27x%5E3%2B216 Start with the given expression.


%283x%29%5E3%2B%286%29%5E3 Rewrite 27x%5E3 as %283x%29%5E3. Rewrite 216 as %286%29%5E3.


%283x%2B6%29%28%283x%29%5E2-%283x%29%286%29%2B%286%29%5E2%29 Now factor by using the sum of cubes formula. Remember the sum of cubes formula is A%5E3%2BB%5E3=%28A%2BB%29%28A%5E2-AB%2BB%5E2%29


%283x%2B6%29%289x%5E2-18x%2B36%29 Multiply

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Answer:

So 27x%5E3%2B216 factors to %283x%2B6%29%289x%5E2-18x%2B36%29.


In other words, 27x%5E3%2B216=%283x%2B6%29%289x%5E2-18x%2B36%29