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Jika , maka bentuk sederhana dari adalah ....

Jika begin mathsize 14px style straight f open parentheses straight x close parentheses equals straight a to the power of straight x end style , maka bentuk sederhana dari begin mathsize 14px style fraction numerator straight f open parentheses 2 straight x close parentheses minus straight f open parentheses negative 2 straight x close parentheses over denominator straight f open parentheses straight x close parentheses plus straight f open parentheses negative straight x close parentheses end fraction end style adalah ....

  1. begin mathsize 14px style straight a to the power of straight x minus straight a to the power of negative straight x end exponent end style 

  2. begin mathsize 14px style straight a to the power of negative straight x end exponent plus straight a to the power of straight x end style 

  3. begin mathsize 14px style straight a to the power of negative straight x end exponent minus straight a to the power of straight x end style 

  4. begin mathsize 14px style straight a to the power of 2 straight x end exponent minus straight a to the power of negative 2 straight x end exponent end style 

  5. begin mathsize 14px style straight a to the power of negative 2 straight x end exponent minus straight a to the power of 2 straight x end exponent end style 

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begin mathsize 14px style fraction numerator straight f open parentheses 2 straight x close parentheses minus straight f open parentheses negative 2 straight x close parentheses over denominator straight f open parentheses straight x close parentheses plus straight f open parentheses negative straight x close parentheses end fraction equals fraction numerator straight a to the power of 2 straight x end exponent minus straight a to the power of negative 2 straight x end exponent over denominator straight a to the power of straight x plus straight a to the power of negative straight x end exponent end fraction end style 

Ingat bahwa begin mathsize 14px style straight x squared minus straight y squared equals open parentheses straight x plus straight y close parentheses open parentheses straight x minus straight y close parentheses end style , sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator straight f open parentheses 2 straight x close parentheses minus straight f open parentheses negative 2 straight x close parentheses over denominator straight f open parentheses straight x close parentheses plus straight f open parentheses negative straight x close parentheses end fraction end cell equals cell fraction numerator straight a to the power of 2 straight x end exponent minus straight a to the power of negative 2 straight x end exponent over denominator straight a to the power of straight x plus straight a to the power of negative straight x end exponent end fraction end cell row blank equals cell fraction numerator open parentheses straight a to the power of straight x close parentheses squared minus open parentheses straight a to the power of negative straight x end exponent close parentheses squared over denominator straight a to the power of straight x plus straight a to the power of negative straight x end exponent end fraction end cell row blank equals cell fraction numerator open parentheses straight a to the power of straight x plus straight a to the power of negative straight x end exponent close parentheses open parentheses straight a to the power of straight x minus straight a to the power of negative straight x end exponent close parentheses over denominator straight a to the power of straight x plus straight a to the power of negative straight x end exponent end fraction end cell row blank equals cell straight a to the power of straight x minus straight a to the power of negative straight x end exponent end cell end table end style     

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