Question

(a) Show that :

(1 + w - w2 ) 3- (1 - w + w2) 3= 0, where w is a

cube root of unity.​

Answer 1

Step-by-step explanation:

Let's solve your equation step-by-step.

(1+w−w2)(3)−(1−w+w2)(3)=0

Step 1: Simplify both sides of the equation.

−6w2+6w=0

Step 2: Factor left side of equation.

6w(−w+1)=0

Step 3: Set factors equal to 0.

6w=0 or −w+1=0

w=0 or w=1

Answer:

w=0 or w=1