Question

please answer this question ​

Answer 1

$\huge\bold\pink{Answer}$

$\frac{1}{1\:+\:x^-m}\:+\:\frac{1}{1\:+\:x^m}$

$\frac{1\:+\:x^m}{1}\:+\:\frac{1}{1\:+\:x^m}$

Numbers are cancelled with each other and give answer = 1

Answer 2

$\:\:\:\:\huge\mathfrak{\red{\underline{\underline{♡\: Solution}}}}\:$

$\Huge\to\:\:\bf\frac{1}{1 + {x}^{ - m} } + \frac{1}{1 + {x}^{m} }$

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$\Huge\to\:\:\bf \frac{1}{1 + \frac{1}{ {x}^{m} } } + \frac{1}{1 + {x}^{m} }$

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$\Huge\to\:\:\bf\frac{1}{ \frac{ {x}^{m} + 1 }{ {x}^{m} } } + \frac{1}{1 + {x}^{m} }$

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$\Huge\to\:\:\bf \frac{ {x}^{m} }{ {x}^{m} + 1 } + \frac{1}{1 + {x}^{m} }$

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$\Huge\to\:\:\bf \frac{ \cancel{{x}^{m} + 1} }{\cancel{{x}^{m} + 1}}$

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$\Huge\to\:\:\sf 1$