If a + b = 5 and ab = 6, then what is the value of a^3+ b^3

If a + b = 5 and ab = 6, then what is the value of a3+ b3?

  1. 35
  2. 40
  3. 90
  4. 125

Answer

a3 + b3 = (a + b)3 - 3ab(a + b)

= 53 - 3(6)(5)

= 125 - 90

= 35

The correct option is A.

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