Math, asked by FarmanAli1, 1 year ago

if a-1/a=5 find a3-1/a3

Answers

Answered by Prabhatsingh12
60
If a-1/a = 5 .
then, [a -1/a]^3 = (5)^3
a^3 - 1/a^3 - 3a×1/a(a - 1/a) = 125
a^3 -1/a^3 -3(5) = 125. (putting the value of a -1/a).
a^3 -1/a^3 -15 =125
a^3 - 1/a^3 = 125 + 15 = 140.
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FarmanAli1: You are great man..thanks for the solution
Answered by Siddharta7
30

If a-1/a = 5 .

then, [a -1/a]^3 = (5)^3

a^3 - 1/a^3 - 3a×1/a(a - 1/a) = 125

a^3 -1/a^3 -3(5) = 125. (putting the value of a -1/a).

a^3 -1/a^3 -15 =125

a^3 - 1/a^3 = 125 + 15 = 140.

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