Question

Please answer fast..
First answer with correct explanation will be marked as brainliest..​

Answer 1

Solution :

Given, a + 1/a = 8

Then, a³ + 1/a³

= (a + 1/a)³ - (3 * a * 1/a) (a + 1/a)

= (a + 1/a)³ - 3 (a + 1/a)

= 8³ - 3 (8)

= 512 - 24

= 488 .....( a )

Also, a⁶ + 1/a⁶

= (a³ + 1/a³)² - (2 * a³ * 1/a³)

= 488² - 2

= 238144 - 2

= 238142 .....( b )