Question

If t+1/t=8 , then find the value of t3+1/t3​

Answer 1

Answer:

488

Step-by-step explanation:

$(t + \frac{1}{t} )^{3}  = t^{3} + \frac{1}{t^{3}} + 3(t + \frac{1}{t})$

$512 = t^{3} + \frac{1}{t^{3}} + 3(8)$

$512 = t^{3} + \frac{1}{t^{3}} + 24$

$<strong>  </strong>488 = t^{3} + \frac{1}{t^{3}}$

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Answer 2

Answer:

Step-by-step explanation:

t+1/t=8

t3+1/t3 = 8(8²-3) = 488