Question

if a+1/a=5 and ab=5 , find a3+1/a3​

Answer 1

Answer:

a^3 + 1/a^3 = 110

Step-by-step explanation:

a+1/a = 5 (given)

(a+1/a)^3 = 5^3 (cubing both sides)

a^3 + 1/a^3 + 3*a*1/a (a+1/a) = 125

:. a^3 + 1/a^3 + 3*5 = 125

:. a^3 + 1/a^3 = 125-15

:. " = 110

hence your answer is 110 :)

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