SOLUTION: factor each expression: 8-m^6

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Question 119401: factor each expression:
8-m^6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8-m%5E6 Start with the given expression.


%282%29%5E3-%28m%5E2%29%5E3 Rewrite 8 as %282%29%5E3. Rewrite m%5E6 as %28m%5E2%29%5E3.


%282-m%5E2%29%28%282%29%5E2%2B%282%29%28m%5E2%29%2B%28m%5E2%29%5E2%29 Now factor by using the difference of cubes formula. Remember the difference of cubes formula is A%5E3-B%5E3=%28A-B%29%28A%5E2%2BAB%2BB%5E2%29


%282-m%5E2%29%284%2B2m%5E2%2Bm%5E4%29 Multiply


So 8-m%5E6 factors to %282-m%5E2%29%284%2B2m%5E2%2Bm%5E4%29.

In other words, 8-m%5E6=%282-m%5E2%29%284%2B2m%5E2%2Bm%5E4%29