\(\frac{x+3}{2x-2}-\frac{4}{x^2-1}.\frac{x+1}{2}\)
\(=\frac{x+3}{2x-2}-\left(\frac{4}{x^2-1}.\frac{x+1}{2}\right)\)
\(=\frac{x+3}{2\left(x-1\right)}-\frac{4\left(x+1\right)}{2\left(x-1\right)\left(x+1\right)}\)
\(=\frac{x+3}{2\left(x-1\right)}-\frac{4}{2\left(x-1\right)}\)
\(=\frac{x+3-4}{2\left(x-1\right)}\)
\(=\frac{x-1}{2\left(x-1\right)}\)
\(=\frac{1}{2}\)
rút gọn : \(\left(\frac{x}{x^2-16}-\frac{x-4}{x^2+4x}\right):\frac{2x-4}{x^2+4x}\)
Rút gọn: \(\left(\frac{x^2}{4}+\frac{2}{x}\right):\left(\frac{x}{4}-\frac{1}{2}+\frac{1}{x}\right)\)
Rút gọn C = \(\frac{x}{x-3}-\frac{x^2+3x}{2x+3}.\left(\frac{x+3}{x^2-3x}-\frac{x}{x^2-9}\right)\)
Rút gọn : \(\left(\frac{1}{x^2-xy}-\frac{3y^2}{x^4-xy^3}-\frac{y}{x^3+x^2y+xy^2}\right)\left(y+\frac{x^2}{x+y}\right)\)
Rút gọn : \(\left(\frac{1}{2x-y}+\frac{3y}{x^2-4x^2}-\frac{2}{2x+y}\right):\left(\frac{4x^2+y^2}{4x^2-y^2}+1\right)\)
Rút gọn A = \(\frac{x^2}{x^2-1}-\frac{x^2}{x^2+1}\left(\frac{x}{x+1}+\frac{1}{x^2+x}\right)\)
Rút gọn : \(\left(x^2-\frac{1}{x}\right)\left(\frac{x+1}{x^2+x+1}+\frac{1}{x-1}\right)\)
Rút gọn : \(\frac{2}{xy}:\left(\frac{1}{x}-\frac{1}{y}\right)^2-\frac{x^2+y^2}{\left(x-y\right)^2}\)
Rút gọn : \(\left(1+\frac{1}{a+x}\right):\left(1-\frac{1}{a+x}\right).\left[1-\frac{1-\left(a^2+x^2\right)}{2ax}\right]\)
