PROVE ᵗʰᵃᵗ (1+w)(1+w²)(1+w⁴)(1+w⁸)=1 Related to cube roots of unity

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Show that (1+w)(1+w²)(1+w⁴)(1+w⁸)=1|| Show that x³-y³=(x-y)(x-wy)(x-w²y) Show that (1+w)(1+w²)(1+w⁴)(1+w⁸)=1|| Show that x³-y³=(x-y)(x-wy)(x-w²y)
1.d) (1–ω)(1–ω²)(1–ω⁴)(1–ω⁸) = 9 If ω be complex cube root unity show that (1–w)(1–w²)(1–w⁴)(1–w⁸)=9 1.d) (1–ω)(1–ω²)(1–ω⁴)(1–ω⁸) = 9 If ω be complex cube root unity show that (1–w)(1–w²)(1–w⁴)(1–w⁸)=9
"Exercise 2.2-10 Math|Prove that (1+w)(1+w²)(1+w⁴)(1+w⁸)=1|" "Exercise 2.2-10 Math|Prove that (1+w)(1+w²)(1+w⁴)(1+w⁸)=1|"
Prove that (1+w)(1+w^2)(1+w^4)(1+w^8)=1where w is the imagination cube root of unity. | CLASS 12... Prove that (1+w)(1+w^2)(1+w^4)(1+w^8)=1where w is the imagination cube root of unity. | CLASS 12...
Sum of cube roots of unity iz zero, prove it. Sum of cube roots of unity iz zero, prove it.
Solution of Determinant problem 2. cube roots unity Solution of Determinant problem 2. cube roots unity
#Basic #Math ... 1 + w + w² = 0 | PROOF #Basic #Math ... 1 + w + w² = 0 | PROOF
Q45-w is an imaginary cube root of unity 1.(2 - w)(2 - w2)+2.(3 -w)(3-w2)+•••+(n - 1)(n - w)(n - w2) Q45-w is an imaginary cube root of unity 1.(2 - w)(2 - w2)+2.(3 -w)(3-w2)+•••+(n - 1)(n - w)(n - w2)