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CBSE Class 8 Answered

prove that (k^a/k^b)^c+d×(k^b/k^c)^d+a×(k^c/k^d)^a+b×(k^d/k^a)^b+c = 1
Asked by Sarabjotk09 | 06 May, 2019, 05:14: PM
answered-by-expert Expert Answer
open parentheses k to the power of a over k to the power of b close parentheses to the power of c plus d end exponent cross times open parentheses k to the power of b over k to the power of c close parentheses to the power of d plus a end exponent cross times open parentheses k to the power of c over k to the power of d close parentheses to the power of a plus b end exponent cross times open parentheses k to the power of d over k to the power of a close parentheses to the power of b plus c end exponent equals open parentheses k to the power of a minus b end exponent close parentheses to the power of c plus d end exponent cross times open parentheses k to the power of b minus c end exponent close parentheses to the power of d plus a end exponent cross times open parentheses k to the power of c minus d end exponent close parentheses to the power of a plus b end exponent cross times open parentheses k to the power of d minus a end exponent close parentheses to the power of b plus c end exponent equals k to the power of left parenthesis a minus b right parenthesis left parenthesis c plus d right parenthesis end exponent cross times k to the power of open parentheses b minus c close parentheses open parentheses d plus a close parentheses end exponent cross times k to the power of open parentheses c minus d close parentheses open parentheses a plus b close parentheses end exponent cross times k to the power of open parentheses d minus a close parentheses open parentheses b plus c close parentheses end exponent equals k to the power of a c plus a d minus b c minus b d plus b d plus a b minus c d minus a c plus a c plus c d minus a d minus b d plus b d plus c d minus a d minus a c end exponent equals k to the power of 0 equals 1
Answered by Renu Varma | 06 May, 2019, 06:24: PM

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