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ICSE Class 9 Answered

Simplify: 1-{1-(1-x²)^-1}^-1  
Asked by dasbiman984 | 18 Aug, 2018, 10:11: PM
answered-by-expert Expert Answer
begin mathsize 16px style 1 space minus space open square brackets 1 minus space left parenthesis 1 space minus space straight x squared right parenthesis to the power of negative 1 end exponent close square brackets to the power of negative 1 end exponent equals space 1 space minus space open parentheses 1 space minus space fraction numerator 1 over denominator 1 space minus space straight x squared end fraction close parentheses to the power of negative 1 end exponent equals space 1 space minus space open parentheses fraction numerator 1 minus space straight x squared space minus space 1 over denominator 1 space minus space straight x squared end fraction close parentheses to the power of negative 1 end exponent equals space 1 space minus space open parentheses fraction numerator space minus straight x squared over denominator 1 space minus space straight x squared end fraction close parentheses to the power of negative 1 end exponent equals space 1 space minus space open parentheses fraction numerator negative 1 space plus space straight x squared over denominator space straight x squared end fraction close parentheses equals space fraction numerator straight x squared space space plus space 1 space minus space straight x squared over denominator straight x squared end fraction equals 1 over straight x squared end style
Answered by Yasmeen Khan | 20 Aug, 2018, 11:16: AM

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