Question

1÷{1+x^(m-n)}+1÷{1+x^(n-m)}=1 (Prove)

Answer 1

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(1/1+x^m-n)+(1/1+x^n-m)
=(1/1+x^m÷x^n)+(1/1+x^n÷x^m)
={1/(x^n+x^m)÷x^n}+{1/(x^m+x^n)÷x^m}
=(x^n/x^n+x^m)+(x^m/x^m+x^n)
=(x^n+x^m)/(x^n+x^m)=1-Prooved

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