Question

IF a+ 1/a = 2 find a³+ a‐³​

Answer 1

Answer:

Applying the formula,(a+b)

3

=a

3

+b

3

+3ab(a+b)

(a+

a

1

)

3

=a

3

+(

a

1

)

3

+3a×

a

1

×(a+

a

1

)=a

3

+

a

3

1

+3(a+

a

1

)

a

3

+

a

3

1

=(a+

a

1

)

3

−3(a+

a

1

)

Substituting, a+

a

1

=5

a

3

+(

a

1

)

3

=5

3

−3×5=125−15=110.

Step-by-step explanation:

hope it will be helpful to you dear friend

Answer 2

a+1/a=2

a³+1/a³

=(a+1/a)³-3×a×1/a(a+1/a)

=(2)³-3(2)

=8-6

=2