if a-1/a=6, find a³-1/a³
Answers
Answered by
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
Similar questions