\(\left(\frac{3x}{1-2x}+\frac{2x}{1+2x}\right):\frac{2x^2+5x}{1-4x+4x^2}=\frac{3x\left(1+2x\right)+2x\left(1-2x\right)}{\left(1-2x\right)\left(1+2x\right)}:\frac{2x^2+5x}{1-2x-2x+4x^2}\)
\(=\frac{3x+6x^2+2x-4x^2}{\left(1-2x\right)\left(1+2x\right)}:\frac{2x^2+5x}{\left(1-2x\right)^2}=\frac{2x^2+5x}{\left(1-2x\right)\left(1+2x\right)}.\frac{\left(1-2x\right)^2}{2x^2+5x}=\frac{1-2x}{1+2x}\)
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