Khi thực hiện phép tính \(\dfrac{x+4}{4x\left(x+2\right)}+\dfrac{x}{2x+4}\) , ta có kết quả là
\(\dfrac{2x^2+x+4}{4x\left(x+2\right)}\).\(\dfrac{1}{2x}\).\(\dfrac{3x+4}{4x\left(x+2\right)}\).\(\dfrac{2x+5}{4x\left(x+2\right)}\).Hướng dẫn giải:\(\dfrac{x+4}{4x\left(x+2\right)}+\dfrac{x}{2x+4}\)
\(=\dfrac{x+4}{4x\left(x+2\right)}+\dfrac{x}{2\left(x+2\right)}\)
\(=\dfrac{x+4}{4x\left(x+2\right)}+\dfrac{2x^2}{4x\left(x+2\right)}\)
\(=\dfrac{2x^2+x+4}{4x\left(x+2\right)}\).