Question

show that 1/1+x^q-p + 1/1+x^p-q =1​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

The given equality can be proven as follows:-

1) The given equation is$\frac{1}{1+x^{q-p }} + \frac{1}{1+x^{p-q}} = 1$.

2) The x terms can be resolved into individual powers as follows$\frac{1}{1+\frac{x^q}{x^p} } + \frac{1}{1+\frac{x^p}{x^q} }$

3) Solving the denominator terms : $\frac{x^p}{x^q+ x^p } + \frac{x^q}{x^q+ x^p } = 1$

4) Adding both the terms gives us equal denominator and numerator $\frac{x^p +x^q}{x^p + x^q}$

5) Hence, the result of solving the given equation is 1.