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\(3x=10y\Leftrightarrow\frac{x}{y}=\frac{10}{3}\)
A=\(\frac{16x^2-40xy}{8x^2-24xy}=\frac{\frac{16x^2}{8xy}-\frac{40xy}{8xy}}{\frac{8x^2}{8xy}-\frac{24xy}{8xy}}=\frac{2\frac{x}{y}-5}{\frac{x}{y}-3}=\frac{2.\frac{10}{3}-5}{\frac{10}{3}-3}=\frac{\frac{5}{3}}{\frac{1}{3}}=5\)
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A=\(\frac{16x^2-40xy}{8x^2-24xy}=\frac{8x(2x-5y)}{ 8x(x-3y)} =\frac{2x-5y}{x-3y} \)
\(\frac{x}{y}=\frac{10}{3}<=>10y=3x <=>y=\frac{3}{10}x \)
=>A=(\(2x-\frac{3}{2}x):(x-\frac{9}{10}x) \)
=\(\frac{1}{2}x:\frac{1}{10}x=\frac{1}{2}x.\frac{10}{x}=5 \)
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\(\dfrac{16x^2-40xy}{8x^2-24xy}=\dfrac{8x\left(2x-5y\right)}{8x\left(x-3y\right)}=\dfrac{2x-5y}{x-3y}\)
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Có : \(y=\frac{3}{10}x\left(1\right)\)
Thay (1) và PT đc \(N=\frac{16x^2-12x^2}{8x^2-\frac{36}{5}x^2}=\frac{4x^2}{\frac{4}{5}x^2}=5\)
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\(\frac{x}{y}=10\Rightarrow x=10y\)
\(M=\frac{16x^2-40xy}{8x^2-24xy}=\frac{8x\left(2x-5y\right)}{8x\left(x-3y\right)}=\frac{2x-5y}{x-3y}\)
\(=\frac{2.10y-5y}{10y-3y}=\frac{15}{7}\)