Sau khi thực hiện phép nhân \(\dfrac{6x-3}{5x^2+x}.\dfrac{25x^2+10x+1}{1-8x^3}\), ta có kết quả là
\(\dfrac{-3\left(5x+1\right)}{x\left(4x^2+2x+1\right)}\).\(\dfrac{3\left(5x+1\right)}{x\left(4x^2+2x+1\right)}\).\(\dfrac{-3\left(5x+1\right)}{x\left(4x^2-2x+1\right)}\).\(\dfrac{-3\left(5x-1\right)}{x\left(4x^2-2x+1\right)}\).Hướng dẫn giải:\(\dfrac{6x-3}{5x^2+x}.\dfrac{25x^2+10x+1}{1-8x^3}\)
\(=\dfrac{3\left(2x-1\right)\left(5x+1\right)^2}{x\left(5x+1\right)\left(1-2x\right)\left(1+2x+4x^2\right)}\)
\(=\dfrac{-3\left(5x+1\right)}{x\left(4x^2+2x+1\right)}\).
