Question

if a-1/a=6, find a³-1/a³

Answer 1

Answer:

Valueofa

3

+

a

3

1

=198

Step-by-step explanation:

a+\frac{1}{a}=6\:--(1)a+

a

1

=6−−(1)

\begin{gathered} Value \:of \: a^{3}+\frac{1}{a^{3}}\\=\left(a+\frac{1}{a}\right)^{3}-3\left(a+\frac{1}{a}\right)\\=6^{3}-3\times 6\\=216-18\\=198\end{gathered}

Valueofa

3

+

a

3

1

=(a+

a

1

)

3

−3(a+

a

1

)

=6

3

−3×6

=216−18

=198

Therefore,

Value \:of \: a^{3}+\frac{1}{a^{3}}= 198Valueofa

3

+

a

3

1

=198