Prove that (1+w)^3 - (1+w^2)^3=0 Here W is cube ro

Question

Prove that (1+w)^3 - (1+w^2)^3=0 Here W is cube root of unity Please provide the whole proof 😊😊.

Arun · Accepted Answer

Dear Piyush As we know1 + w + w2 = 0hence we can write 1 + w = – w2 and 1 + w2 = –w and w3 = 1 when required Now(1 + w)3 – (1 + w2)3( – w2)3 – ( –w)3 – w6 + w3 – 1 + 1 = 0 = RHSHence Proved RegardsArun (askIITians forum expert)

Magical Mathematics[Interesting Approach]> Prove that (1+w)^3 - (1+w^2)^3=0 Here W i...

Prove that (1+w)^3 - (1+w^2)^3=0 Here W is cube root of unity Please provide the whole proof 😊😊.

Piyush Upadhyay , 7 Years ago

Arun

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Magical Mathematics[Interesting Approach]> Prove that (1+w)^3 - (1+w^2)^3=0 Here W i...

Prove that (1+w)^3 - (1+w^2)^3=0 Here W is cube root of unity Please provide the whole proof 😊😊.

Piyush Upadhyay , 7 Years ago

Arun

LIVE ONLINE CLASSES

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