Home
Class 12
MATHS
If omega pm 1 is a cube root of unity, s...

If `omega pm` 1 is a cube root of unity, show that
`(1 - omega + omega^(2))^(6) + (1 + omega - omega^(2))^(6) = 128`

Text Solution

Verified by Experts

The correct Answer is:
`128`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Solution to Exercise 2.9|25 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Solution to Exercise 2.7|12 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

If omega ne 1 is a cube root of unity, show that (i) (1-omega+omega^(2))^(6)+(1+omega-omega^(2))^(6)=128 (ii) (1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(8))…2n terms=1

If omega pm 1 is a cube root of unity, show that (a + b omega + c omega^(2))/(b + c omega + a omega^(2))+ (a + b omega + c omega^(2))/(c + a omega + b omega^(2)) = -1

If omega pm 1 is a cube root of unity, show that (1 + omega) (1 + omega^(2))(1 + omega^(4))(1 + omega^(8))…(1 + omega^(2^(11))) = 1

If omega is a cube root of unity, then the value of (1 - omega + omega^2)^4 + (1 + omega - omega^2)^(4) is ……….

If is a cubeth root of unity root of : (1-omega+omega^(2))^(4)+(1+omega-omega^(2))^(4) is :

If omega is the cube root of unity, then then value of (1 - omega) (1 - omega^(2))(1 - omega^(4))(1 - omega^(8)) is

If omega is the cube root of unity then Assertion : (1-omega+omega^(2))^(6)+(1+omega-omega^(2))^(6)=128 Reason : 1+omega+omega^(2)=0

If 1, omega omega^(2) are the cube roots of unity show that (1 + omega^(2))^(3) - (1 + omega)^(3) = 0

If 1, omega omega^(2) are the cube roots of unity then show that (1 + 5omega^(2) + omega^(4)) ( 1 + 5omega + omega^(2)) ( 5 + omega + omega^(5)) = 64.

If omega ne 1 is a cube root of unity, then show that (a+bomega+comega^(2))/(b+comega+aomega^(2))+(a+bomega+comega^(2))/(c+aomega+bomega^(2))=1