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CBSE Class 8 Answered

Please simplify
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Asked by soumenghosh83 | 17 May, 2019, 06:57: PM
answered-by-expert Expert Answer
fraction numerator open parentheses x to the power of 2 to the power of n end exponent minus y to the power of 2 to the power of n end exponent close parentheses over denominator open parentheses x to the power of 2 to the power of n minus 1 end exponent end exponent minus y to the power of 2 to the power of n minus 1 end exponent end exponent close parentheses end fraction equals fraction numerator begin display style open parentheses x to the power of open parentheses 2 to the power of n minus 1 end exponent cross times 2 close parentheses end exponent minus y to the power of open parentheses 2 to the power of n minus 1 end exponent cross times 2 close parentheses end exponent close parentheses end style over denominator begin display style open parentheses x to the power of 2 to the power of n minus 1 end exponent end exponent minus y to the power of 2 to the power of n minus 1 end exponent end exponent close parentheses end style end fraction equals fraction numerator begin display style open parentheses open parentheses x to the power of 2 to the power of n minus 1 end exponent end exponent close parentheses squared minus open parentheses y to the power of 2 to the power of n minus 1 end exponent end exponent close parentheses squared close parentheses end style over denominator begin display style open parentheses x to the power of 2 to the power of n minus 1 end exponent end exponent minus y to the power of 2 to the power of n minus 1 end exponent end exponent close parentheses end style end fraction equals fraction numerator begin display style open parentheses x to the power of 2 to the power of n minus 1 end exponent end exponent minus y to the power of 2 to the power of n minus 1 end exponent end exponent close parentheses open parentheses x to the power of 2 to the power of n minus 1 end exponent end exponent plus y to the power of 2 to the power of n minus 1 end exponent end exponent close parentheses end style over denominator begin display style open parentheses x to the power of 2 to the power of n minus 1 end exponent end exponent minus y to the power of 2 to the power of n minus 1 end exponent end exponent close parentheses end style end fraction equals open parentheses x to the power of 2 to the power of n minus 1 end exponent end exponent plus y to the power of 2 to the power of n minus 1 end exponent end exponent close parentheses
Answered by Renu Varma | 18 May, 2019, 11:49: AM

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