Question

prove that 1/1+2w + 1/2+w -1/1+w =0(w denotes Omega/cube root of unity)​

Answer 1

i hope this will help you.

Answer 2

Hence proved $\frac{1}{1+2w}+\frac{1}{2+w}-\frac{1}{1+w}=0$

Step-by-step explanation:

To prove : Expression $\frac{1}{1+2w}+\frac{1}{2+w}-\frac{1}{1+w}=0$

Proof :

Taking LHS,

$LHS=\frac{1}{1+2w}+\frac{1}{2+w}-\frac{1}{1+w}$

$LHS=\frac{1}{1+2w}+\frac{1+w-2-w}{(2+w)(1+w)}$

$LHS=\frac{1}{1+2w}+\frac{-1}{2+2w+w+w^2}$

$LHS=\frac{1}{1+2w}+\frac{-1}{1+2w+1+w+w^2}$

As (w denotes Omega/cube root of unity)​ so $1+w+w^2=0$

$LHS=\frac{1}{1+2w}-\frac{1}{1+2w}$

$LHS=\frac{1-1}{1+2w}$

$LHS=0$

$LHS=RHS$

Hence proved.

#Learn more

4. Prove that:

1/(1+x^a-b) + 1/(1+x^b-a) =1 prove that

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