Sao k thấy thông báo nhỉ
$\frac{a}{b} = \frac{c}{d} \\ Rightarrow \frac{a}{b} . \frac{a}{b} = \frac{a}{b} . \frac{c}{d} = \frac{c}{d} . \frac{c}{d} \\ \Leftrightarrow \frac{a^2}{b^2} = \frac{ac}{bd} = \frac{c^2}{d^2} \\ \frac{a^2}{b^2} = \frac{2010a^2}{2010b^2} \\ \frac{c^2}{d^2} = \frac{2011c^2}{2011d^2} \\ \Rightarrow \frac{ac}{bd} = \frac{2010a^2}{2010b^2} = \frac{2011c^2}{2011d^2}$
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
$\frac{ac}{bd} = \frac{2010a^2}{2010b^2} = \frac{2011c^2}{2011d^2} = \frac{2010a^2 + 2011c^2}{2010b^2 + 2011d^2}$
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