Question

Help me to solve please.​

Answer 1

Step-by-step explanation:

(a-1/a)² =3

a²+(1/a)²-2.a.1/a=3

a²+1/a²=3+2    

a²+1/a²=5         (equation 1)

now cubing both side

(a²+1/a²)³=5³

a^6 + 1/a^6 + 3.a².1/a²(a²+1/a²) = 125   (∵(a+b)³=a³+b³+3ab(a+b))

a^6 + 1/a^6 + 3×5 = 125              (∵ a²+1/a² = 5 according equation 1)

a^6 + 1/a^6=125-15 = 110             proved