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morganalana17

  • 3 years ago

factoring

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  1. dibauman
    • 3 years ago
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    Its the difference of cubes (since 216 is 6^3 and 1 is 1^3), so use the difference of cubes formula.

  2. tcarroll010
    • 3 years ago
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    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?

  3. tcarroll010
    • 3 years ago
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    @morganalana17 ? Can you do this last part?

  4. tcarroll010
    • 3 years ago
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    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 x-axis is crossed). The function will of course have 2 more solutions but those will be imaginary solutions. The graph looks like:

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  5. tcarroll010
    • 3 years ago
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    (6x - 1)(36x^2 + 6x + 1)

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