If a+1/a = 4, find a^3+1/a^3
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Step-by-step explanation:
If a-1/a = 4 .
then, [a -1/a]^3 = (4)^3
a^3 - 1/a^3 - 3a×1/a(a - 1/a) = 64
a^3 -1/a^3 -3(4) = 64. (putting the value of a -1/a).
a^3 -1/a^3 -12 =125
a^3 - 1/a^3 = 125 + 12 = 137.
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