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fraction numerator 1 over denominator 1 plus x to the power of a minus b end exponent end fraction plus fraction numerator 1 over denominator 1 plus x to the power of b minus a end exponent end fraction equals 1

Asked by Kamesh | 16th May, 2015, 09:55: PM

Expert Answer:

fraction numerator 1 over denominator 1 plus x to the power of a minus b end exponent end fraction plus fraction numerator 1 over denominator 1 plus x to the power of b minus a end exponent end fraction equals 1 L H S comma fraction numerator 1 over denominator 1 plus x to the power of a minus b end exponent end fraction plus fraction numerator 1 over denominator 1 plus x to the power of b minus a end exponent end fraction equals fraction numerator 1 over denominator 1 plus x to the power of a minus b end exponent end fraction plus fraction numerator 1 over denominator 1 plus x to the power of negative left parenthesis a minus b right parenthesis end exponent end fraction equals fraction numerator 1 over denominator 1 plus x to the power of a minus b end exponent end fraction plus fraction numerator 1 over denominator 1 plus begin display style 1 over x to the power of a minus b end exponent end style end fraction equals fraction numerator 1 over denominator 1 plus x to the power of a minus b end exponent end fraction plus fraction numerator 1 over denominator begin display style fraction numerator x to the power of a minus b end exponent plus 1 over denominator x to the power of a minus b end exponent end fraction end style end fraction equals fraction numerator 1 over denominator 1 plus x to the power of a minus b end exponent end fraction plus fraction numerator x to the power of a minus b end exponent over denominator begin display style x to the power of a minus b end exponent plus 1 end style end fraction equals fraction numerator 1 over denominator 1 plus x to the power of a minus b end exponent end fraction plus fraction numerator x to the power of a minus b end exponent over denominator begin display style 1 plus x to the power of a minus b end exponent end style end fraction equals fraction numerator 1 plus x to the power of a minus b end exponent over denominator 1 plus x to the power of a minus b end exponent end fraction equals 1 equals R H S H e n c e space P r o v e d

Answered by Prasenjit Paul | 16th May, 2015, 11:03: PM