Pertanyaan

Bentuk paling sederhana dari b 2 1 − a 2 1 a 1 − b 1 adalah .....

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

$negative space fraction numerator 1 over denominator a space plus space b end fraction$
$negative space fraction numerator a b over denominator a space plus space b end fraction$
$fraction numerator 1 over denominator a space plus space b end fraction$
$fraction numerator a b over denominator a plus space b end fraction$

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Bentuk sederhananya adalah

$fraction numerator begin display style 1 over a space minus space 1 over b end style over denominator begin display style 1 over b squared space minus space 1 over a squared end style end fraction space equals space fraction numerator begin display style fraction numerator b space minus space a over denominator a b end fraction end style over denominator begin display style fraction numerator a squared space minus space b squared over denominator a squared b squared end fraction end style end fraction space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator b space minus space a over denominator a b end fraction space cross times space fraction numerator a squared b squared over denominator a squared space minus space b squared end fraction space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator b space minus space a over denominator a b end fraction space cross times space fraction numerator a squared b squared over denominator left parenthesis a space minus space b right parenthesis left parenthesis a space plus space b right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator a b over denominator negative 1 left parenthesis a space plus space b right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space space equals space minus space fraction numerator a b over denominator a space plus space b end fraction$