(1 / 1+a^(n-m)) + (1 / 1+a^(m-n)) is equal to
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1
Answer:
1
Step-by-step explanation:
(1/1+a^(n-m))+(1/1+a^(m-n))
(1/1+(a^n/a^m))+(1/1+(a^m/a^n))
(1/(a^m+a^n/a^m))+(1/(a^n+a^m/a^n))
(a^m/a^m+a^n)+(a^n/a^m+a^n)
taking LCM,
(a^m+a^n/a^m+a^n)
=1
Hence, required answer=1
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