a²+1/a²=11 find a³-1/a³
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Step-by-step explanation:
(a-1/a)^2=a^2+1/a^2-2
=11-2=9
(a-1/a)=3 or -3
(a-1/a)^3=a^3-1/a^3-3(a-1/a)
a^3-1/a^3=(a-1/a)^3+3(a-1/a)
fora-1/a=3
a^3-1/a^3=27+9=36
for a-1/a=-3
a^3-1/a^3=-27-9=-36
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