Question

if a + 1/a = 2 then a^3 + 1/ a^3 is?

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Answer 1

Given (a+1/a) 2 = 3 Therefore (a + 1/a)

= √3 Recall the formula, (a3 + b3) = (a + b)3

3ab(a + b) Therefore, (a3 + 1/a3) = (a+ 1/a)3 - 3 x a x 1/a (a + 1/a)

= (√3)3 - 3(√3) = 3√3 - 3(√3 = 0