Question

Prove that :
The question is attached above



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Answer 1

Answer:

The given equation is:

\frac{1}{1+x^{a-b}}+\frac{1}{1+x^{b-a}}

1+x

a−b

1

+

1+x

b−a

1

=\frac{1}{1+\frac{x^a}{x^b}}+\frac{1}{1+\frac{x^b}{x^a}}

1+

x

b

x

a

1

+

1+

x

a

x

b

1

=\frac{1}{\frac{x^b+x^a}{x^b}}+\frac{1}{\frac{x^a+x^b}{x^a}}

x

b

x

b

+x

a

1

+

x

a

x

a

+x

b

1

=\frac{x^b}{x^b+x^a}+\frac{x^a}{x^b+x^a}

x

b

+x

a

x

b

+

x

b

+x

a

x

a

=\frac{x^a+x^b}{x^a+x^b}

x

a

+x

b

x

a

+x

b

=11

Thus, the value of the given equation is 1.

Answer 2

Answer:

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