tolong dong besok udah di kumpulin nih
Matematika
rahmanAk
Pertanyaan
tolong dong besok udah di kumpulin nih
1 Jawaban
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1. Jawaban Arkan5283
Mapel : Matematika
Bab : Akar dan Pangkat
[tex] \frac{ab ^{ - 1} - a ^{ - 1} b}{(ab) ^{ - 2} } \\ = \frac{(a \times \frac{1}{b} ) - ( \frac{1}{a} \times b) }{a^{ - 2} b^{ - 2} } \\ = \frac{ \frac{a}{b} - \frac{b}{a} }{( \frac{1}{a}) ^{2} \times ( \frac{1}{b} ) ^{2} } \\ = \frac{ \frac{a \times a - b \times b}{ab} }{ \frac{1}{a ^{2} } \times \frac{1}{b ^{2} } } \\ = \frac{ \frac{a ^{2} - b^{2} }{ab}}{ \frac{1}{a ^{2}b^{2} } } \\ = \frac{a ^{2} - b^{2} }{ab} \div \frac{1}{a ^{2} b ^{2} } \\ = \frac{a ^{2} - b ^{2} }{ab} \times \frac{a ^{2}b ^{2} }{1} \\ = \frac{a ^{2} - b ^{2} }{ab} \times \frac{ab(ab)}{1} \\ = \frac{a^{2} - b ^{2} }{1} \times \frac{ab}{1} \\ = ab(a^{2} - b ^{2} ) \\ = a ^{3} b - ab ^{3} [/tex]
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