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Gerda
Gerda

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Asked: Tháng Mười Một 5, 20202020-11-05T08:28:07+00:00 2020-11-05T08:28:07+00:00In: Môn Toán

cho $\frac{a}{b}$ = $\frac{c}{d}$ . CMR $\frac{ac}{bd }$ = $\frac{a²+ c ² }{b ² +d ²}$

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cho $\frac{a}{b}$ = $\frac{c}{d}$ . CMR $\frac{ac}{bd
}$ = $\frac{a²+ c ² }{b ² +d ²}$

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    1. Maris

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      2020-11-05T08:29:59+00:00Added an answer on Tháng Mười Một 5, 2020 at 8:29 sáng

      $\dfrac{a}{b} = \dfrac{c}{d}$

      $\Leftrightarrow \dfrac{ac}{bd} = \dfrac{c^2}{d^2} = \dfrac{a^2}{b^2} = \dfrac{a^2 + c^2}{b^2 + d^2}$

      Vậy $\dfrac{ac}{bd} = \dfrac{a^2 + c^2}{b^2 + d^2}$

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