If (a+1/a)^3 = 3,and a≠0,then find the value of (a^3+1/a^3)
Answers
Answered by
2
Answer:
3 + 3∛3
Step-by-step explanation:
Notice that (x+y)³ = x³ + 3x²y + 3xy² + y³.
Putting x=a and y=1/a gives
(a+1/a)³ = (a³ + 1/a³) + 3(a + 1/a)
⇒ a³ + 1/a³ = (a+1/a)³ + 3(a+1/a)
= 3 + 3∛3
Answered by
0
Answer:
3
Step-by-step explanation:
(a+1/a)^3=3
a^3+1/a^3=3 ANSWER.
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