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August899
 one year ago
Factor the polynomials:m^3+1/8 and p^3+216
August899
 one year ago
Factor the polynomials:m^3+1/8 and p^3+216

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0\[\large\rm m^3+\frac{1}{8}\]Hmmm, recall that we have a rule for factoring the `sum of cubes`: \[\large\rm a^3+b^2=(a+b)(a^2ab+b^2)\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0But with the way our problem is written right now, we only have one cube. Any ideas how to turn the 1/8 into `something`^3 ?

August899
 one year ago
Best ResponseYou've already chosen the best response.0do we divide 1 over 8?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0The 8 is some number to the third power.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Example: 27 is 3 to the third power. Because 3 x 3 x 3 = 27 Therefore \(\large\rm 27=3^3\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Comeon Auguuuuuust >.< break down the 8, how can we write that another way?
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