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dibauman Group TitleBest ResponseYou've already chosen the best response.0
Its the difference of cubes (since 216 is 6^3 and 1 is 1^3), so use the difference of cubes formula.
 one year ago

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.0
216x^3  1 = (6x)^3  1^3 Now, let 6x = a and let 1 = b a^3  b^3 = (a  b)(a^2 + ab + b^2) So, just substitute for the a and the b. Can you do this part?
 one year ago

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.0
@morganalana17 ? Can you do this last part?
 one year ago

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.0
Once you get the function factored as indicated above, the second factor (which is a quadratic in x) cannot befactored any further for real solutions so you will have only one real soultion (one place where the xaxis is crossed). The function will of course have 2 more solutions but those will be imaginary solutions. The graph looks like:
 one year ago

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.0
(6x  1)(36x^2 + 6x + 1)
 one year ago
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