ChristianoJV1 ChristianoJV1
  • 12-11-2021
  • Mathematics
contestada

If a+ b = 6 and ab = 2 find a^3 + b^3

Respuesta :

corbomatthew corbomatthew
  • 12-11-2021

Answer: 180

Step-by-step explanation:

This is just testing if you know the sum of cubes formula:

[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)[/tex]

Plugging in the respective values, you get

[tex]a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}[/tex]

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