Question

Rút gọn phân thức:

\(a,\dfrac{x^2+2x+1}{5x^3+5x^2}\)

\(b,\dfrac{2x^2+2x}{x+1}\)

Answer 1

\(\frac{x^2+2x+1}{5x^3+5x^2}=\frac{\left(x+1\right)^2}{5x^2\left(x+1\right)}=\frac{x+1}{5x^2};\)

b, \(\frac{2x^2+2x}{x+1}=\frac{2x\left(x+1\right)}{x+1}=2x\)

Answer 2

\(a,\frac{x^2+2x+1}{5x^3+5x^2}=\frac{\left(x+1\right)^2}{5x^2\left(x+1\right)}=\frac{x+1}{5x^2}\)

\(b,\frac{2x^2+2x}{x+1}=\frac{2x\left(x+1\right)}{x+1}=2x\)

Answer 3

ĐKXĐ: \(\hept{\begin{cases}x\ne0\\x\ne-1\end{cases}}\)

\(\frac{x^2+2x+1}{5x^3+5x^2}=\frac{\left(x+1\right)^2}{5x^2\left(x+1\right)}=\frac{x+1}{5x^2}\)

ĐKXĐ: \(x\ne-1\)

\(\frac{2x^2+2x}{x+1}=\frac{2x\left(x+1\right)}{x+1}=2x\)