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Bentuk sederhana dari  adalah ....

Bentuk sederhana dari begin mathsize 14px style fraction numerator a to the power of negative 1 end exponent plus a to the power of negative 2 end exponent minus 6 a to the power of negative 3 end exponent over denominator a to the power of negative 2 end exponent plus 3 a to the power of negative 3 end exponent end fraction end style adalah ....

  1. begin mathsize 14px style a plus 3 end style 

  2. begin mathsize 14px style a minus 1 end style 

  3. begin mathsize 14px style a minus 2 end style 

  4. begin mathsize 14px style a minus 3 end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a to the power of negative 1 end exponent plus a to the power of negative 2 end exponent minus 6 a to the power of negative 3 end exponent over denominator a to the power of negative 2 end exponent plus 3 a to the power of negative 3 end exponent end fraction end cell equals cell fraction numerator begin display style 1 over a end style plus begin display style 1 over a squared end style minus begin display style 6 over a cubed end style over denominator begin display style 1 over a squared end style plus begin display style 3 over a cubed end style end fraction end cell row blank equals cell fraction numerator begin display style 1 over a plus 1 over a squared minus 6 over a cubed end style over denominator begin display style 1 over a squared plus 3 over a cubed end style end fraction cross times a cubed over a cubed end cell row blank equals cell fraction numerator a squared plus a minus 6 over denominator a plus 3 end fraction end cell row blank equals cell fraction numerator open parentheses a minus 2 close parentheses up diagonal strike open parentheses a plus 3 close parentheses end strike over denominator up diagonal strike a plus 3 end strike end fraction end cell row blank equals cell a minus 2 end cell end table end style

Jadi, jawaban yang tepat adalah C.

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