(a) Show that :
(1 + w - w2 ) 3- (1 - w + w2) 3= 0, where w is a
cube root of unity.
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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
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