\(A=\left(\frac{3x}{1-2x}-\frac{2x}{1+2x}\right):\frac{2x^2+5}{1-4x+4x^2}\)
\(A=\frac{3x+2x}{1-2x}:\frac{2x^2+5}{\left(1-2x\right)^2}\)
\(A=\frac{5x}{1-2x}\cdot\frac{\left(1-2x\right)^2}{2x^2+5}\)
\(A=\frac{5x\left(1-2x\right)\left(1-2x\right)}{\left(1-2x\right)\left(2x^2+5\right)}\)
\(A=\frac{5x\left(1-2x\right)}{2x^2+5}\)
\(A=\frac{5x-10x^2}{2x^2+5}\)
\(A=\left(\frac{3x}{1-2x}-\frac{2x}{1+2x}\right):\frac{2x^2+5}{1-4x+4x^2}\)
\(A=\left(\frac{3x.\left(1+2x\right)}{\left(1-2x\right).\left(1+2x\right)}-\frac{2x.\left(1-2x\right)}{\left(1-2x\right).\left(1+2x\right)}\right):\frac{2x^2+5}{1-4x+4x^2}\)
\(A=\left(\frac{3x+6x^2}{\left(1-2x\right).\left(1+2x\right)}-\frac{2x-4x^2}{\left(1-2x\right).\left(1+2x\right)}\right):\frac{2x^2+5}{1-4x+4x^2}\)
\(A=\left(\frac{3x+6x^2}{\left(1-2x\right).\left(1+2x\right)}+\frac{-\left(2x-4x^2\right)}{\left(1-2x\right).\left(1+2x\right)}\right):\frac{2x^2+5}{1-4x+4x^2}\)
\(A=\left(\frac{3x+6x^2-2x+4x^2}{\left(1-2x\right).\left(1+2x\right)}\right):\frac{2x^2+5}{1-4x+4x^2}\)
\(A=\frac{x+10x^2}{\left(1-2x\right).\left(1+2x\right)}:\frac{2x^2+5}{1-4x+4x^2}\)
\(A=\frac{x+10x^2}{\left(1-2x\right).\left(1+2x\right)}:\frac{2x^2+5}{\left(1-2x\right)^2}\)
\(A=\frac{x+10x^2}{\left(1-2x\right).\left(1+2x\right)}.\frac{\left(1-2x\right)^2}{2x^2+5}\)
\(A=\frac{\left(x+10x^2\right).\left(1-2x\right)^2}{\left(1-2x\right).\left(1+2x\right).\left(2x^2+5\right)}\)
\(A=\frac{\left(x+10x^2\right).\left(1-2x\right)}{\left(1+2x\right).\left(2x^2+5\right)}\)
\(A=\frac{x-2x^2+10x^2-20x^3}{2x^2+5+4x^3+10x}\)
\(A=\frac{x+8x^2-20x^3}{2x^2+5+4x^3+10x}\)
Chúc bạn học tốt!
