a+1/a =5 find a^3+1/a^3
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Answer:
110
Step-by-step explanation:
a+1/a = 5
cubing both sides
(a+ 1/a ) ^3 = 5^3
a^3 + (1/a)^3 + 3a*(1/a)[a+1/a] = 125
a^3 + (1/a)^3 + 3[a+ 1/a] = 125
as given put value of a+1/a = 5
a^3 + (1/a)^3 + 3*5 = 125
a^3 + (1/a)^3 + 15 = 125
a^3 + (1/a)^3 = 125 - 15
a^3 + (1/a)^3 = 110
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