SOLUTION: mr. Jim thanks so much i am really trying and its taking me a lil longer to get the steps. could you please help me with another one so i can practice a lil more please...thanks so

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: mr. Jim thanks so much i am really trying and its taking me a lil longer to get the steps. could you please help me with another one so i can practice a lil more please...thanks so      Log On


   

Question 236687: mr. Jim thanks so much i am really trying and its taking me a lil longer to get the steps. could you please help me with another one so i can practice a lil more please...thanks so much
64m^3+125n^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

64m%5E3%2B125n%5E3 Start with the given expression.


%284m%29%5E3%2B%285n%29%5E3 Rewrite 64m%5E3 as %284m%29%5E3. Rewrite 125n%5E3 as %285n%29%5E3.


%284m%2B5n%29%28%284m%29%5E2-%284m%29%285n%29%2B%285n%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


%284m%2B5n%29%2816m%5E2-20mn%2B25n%5E2%29 Multiply

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Answer:

So 64m%5E3%2B125n%5E3 factors to %284m%2B5n%29%2816m%5E2-20mn%2B25n%5E2%29.


In other words, 64m%5E3%2B125n%5E3=%284m%2B5n%29%2816m%5E2-20mn%2B25n%5E2%29