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AdsCLASS - IXthMATHSQuestion 3If(a+1/a)^2 = 9 then a^3 +1/a^3 equals​

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Answer:

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

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