Ifa2-1 - a-4 find the value of 2 a3-2 - a3

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Identity (x-y)^2

Ifa2+1 / a=4 ...

Question

If( a²+1)/a =4 find the value of 2a³+ 2/a³

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Solution

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Solve:
$(a^{3} + 2) (a^{3} - 2) \div [(a^{3} - 2)] - a^{3}$

4

(1 + x)^{n}

a_{1}, a_{2}, a_{3}, a_{4}

\frac{a_{1}}{a_{1} + a_{2}} + \frac{a_{3}}{a_{3} + a_{4}} = \frac{2 a_{3}}{a_{2} + a_{3}}

a^{4} - 2 a^{3} - 4 a + 8

\frac{a}{2} + \frac{a^{2}}{4} + \frac{a^{3}}{8} - \frac{1}{6}

cos θ = \frac{1}{2} (a + \frac{1}{a})

cos 3 θ = \frac{1}{2} (a^{3} + \frac{1}{a^{3}})

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