Question

if a + 1/a = 2 then find a³ + 1/a³​

Answer 1

Step-by-step explanation:

$a {}^{3} + \frac{1}{a {}^{3} } \\ = (a + \frac{1}{a} ) {}^{3} - 3 \times a \times \frac{1}{a} (a + \frac{1}{a} ) \\ = (2) {}^{3 } - 3 \times 2 \\ = 8 - 6 = 2$

Answer 2

Answer:

2

Step-by-step explanation:

a + 1/a = 2,   cubeing of both side

a³ + 1/a³​+ 3x a x 1/a(a + 1/a )=8

a³ + 1/a³ + 3x(a + 1/a )=8

a³ + 1/a³ + 6 =8

a³ + 1/a³  =2

Ans