if (a+1/a)^3=3 then find value of (a^3 + 1/a^3). a not equal to zero.
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Answer:
3(1-∛3)
Step-by-step explanation:
expand (a+1/a)^3 which is a^3+1/a^3+3(1+1/a)=3
now given (a+1/a)^3=3
so a+1/a=∛3 putting this we get
a^3+1/a^3+3(∛3)=3
so a^3+1/a^3=3(1-∛3)
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