Pertanyaan

Bentuk sederhana dari ab − 1 − a − 1 b a − 2 − b − 2 adalah ….

Bentuk sederhana dari $\frac{a ^{- 2} - b ^{- 2}}{ab ^{- 1} - a ^{- 1} b}$ adalah ….

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A. Acfreelance

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Jawaban terverifikasi

Pembahasan

$fraction numerator straight a to the power of negative 2 end exponent minus straight b to the power of negative 2 end exponent over denominator ab to the power of negative 1 end exponent minus straight a to the power of negative 1 end exponent straight b end fraction equals fraction numerator begin display style 1 over straight a squared end style minus 1 over straight b squared over denominator begin display style straight a over straight b end style minus begin display style straight b over straight a end style end fraction equals fraction numerator begin display style fraction numerator straight b squared minus straight a squared over denominator straight a squared straight b squared end fraction end style over denominator begin display style fraction numerator straight a squared minus straight b squared over denominator ab end fraction end style end fraction equals fraction numerator straight b squared minus straight a squared over denominator straight a squared straight b squared end fraction cross times fraction numerator ab over denominator negative open parentheses space straight a squared minus straight b squared close parentheses end fraction equals negative 1 over ab$