ICSE Class 9 Answered

How to solve (x+1/y)^a multiplied with(x-1/y)^b/(y+1/x)^a multiplied with (y-1/x)^b

Asked by vedikvidya | 06 Oct, 2019, 08:47: PM

Expert Answer

(x+1/y)^a multiplied with(x-1/y)^b/(y+1/x)^a multiplied with (y-1/x)^b

open parentheses x plus 1 over y close parentheses to the power of a cross times fraction numerator open parentheses x minus begin display style 1 over y end style close parentheses to the power of b over denominator open parentheses y plus begin display style 1 over x end style close parentheses to the power of a cross times open parentheses y minus begin display style 1 over x end style close parentheses to the power of b end fraction equals fraction numerator begin display style open parentheses x y plus 1 close parentheses to the power of a over y to the power of a end style cross times begin display style open parentheses x y minus 1 close parentheses to the power of b over y to the power of b end style over denominator begin display style open parentheses x y plus 1 close parentheses to the power of a over x to the power of a end style cross times begin display style open parentheses x y minus 1 close parentheses to the power of b over x to the power of b end style end fraction equals fraction numerator x to the power of a x to the power of b over denominator y to the power of a y to the power of b end fraction equals x to the power of a plus b end exponent over y to the power of a plus b end exponent

Answered by Renu Varma | 07 Oct, 2019, 10:27: AM

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