sydneybiggs sydneybiggs
  • 08-11-2021
  • Mathematics
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if x^3 + k^3 = (x + k)(x^2 - 2x + k^2) what is k?

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devishri1977
devishri1977 devishri1977
  • 08-11-2021

Answer:

Step-by-step explanation:

Compare with the identity: a³ + b³ = (a +b)(a² - ab + b²)

x³ + k³ = (x + k)(x² - 2x + k²)

⇒ ab = 2x

   x *b = 2x

       b = 2x/x

      b = 2

k = 2

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