1/1 + xb - a + xc - a + 1/1 + xa-b + xc

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1/1 + x^{b - a} + x^{c - a} + 1/1 + x^a-b + x^{c - b} + 1/1 + x^{b - c}+ x^{a - c} = ?

1. x^{a - b - c}
2. 1
3. 0
4. 3

Correct Option: B

? = 1/ ( 1 + x^{b - a} + x^{c - a} ) + 1/ ( 1 + x^{a - b} + x^{c - b} ) + 1 / ( 1 + x^{b - c} + x^{a - c} )
Apply the law of algebra and solve the given equation.
⇒ ? =1/ ( 1 + x^b/x^a + x^c/x^a ) + 1/ ( 1+ x^a/x^b + x^c/x^b ) + 1/ ( 1 + x^b/x^c + x^a/x^c )
⇒ ? = x^a/ ( x^a+x^b+x^c ) + x^b/ ( x^b + x^a+ x^c ) + x^c/ ( x^c+x^b+x^a )
⇒ ? = ( x^a + x^b + x^c ) / ( x^a + x^b + x^c ) = 1