\(=\frac{x+2}{4\left(x+6\right)}.\frac{x^2-6^2}{x^2+2x-x-2}\)
\(=\frac{x+2}{4\left(x-6\right)}.\frac{\left(x-6\right).\left(x+6\right)}{x\left(x+2\right)-\left(x+2\right)}\)
\(=\frac{x+2}{4\left(x-6\right)}.\frac{\left(x-6\right).\left(x+6\right)}{\left(x+2\right).\left(x-1\right)}\)
\(=\frac{x+6}{4x-4}\)
Bài 1: Rút gọn biểu thức:
a) A = \(\left(\frac{1}{x^2-4x}+\frac{2}{16-x^2}+\frac{4}{4x+16}\right):\frac{1}{4x}\)
cho \(A=\left(\frac{4x}{x+2}-\frac{x^3-8}{x^3+8}.\frac{4x^2-8x+16}{x-4}\right):\frac{16}{x+2}.\frac{x^2+3x+2}{x^2+x+1}\)
rút gọn A
Rút gọn biểu thức \(A=\frac{4x}{x^2+2x}+\frac{3}{2-x}+\frac{12x}{x^3-4x}\)
Rút gọn A=\(\left(\frac{2+x}{2-x}-\frac{4x^2}{x^2-4}-\frac{2-x}{2+x}\right):\frac{x^2-3x}{2x^2-x^3}\)
\(P=\frac{x^3-4x}{x^2+4}\cdot\left(\frac{1}{x^2+4x+4}+\frac{1}{4-x^2}\right)\)
rút gọn P
Cho \(S=\left(\frac{2+x}{2-x}+\frac{4x^2}{x^2-4}-\frac{2-x}{2+x}\right):\frac{x^3-3x}{2x^2-x^3}\)
Rút gọn S
Cho biểu thức \(M=\left(\frac{x+2}{3x}+\frac{2}{x+1}-3\right):\frac{2-4x}{x+1}-\frac{3x-x^2+1}{3x}\)
A, Rút gọn bthuc M
B, tính gtri bthuc rút gọn của M tại x=6013
Rút gọn A=\(\left(\frac{x-1}{x^2-2x}\frac{x+1}{x^2+2x}\frac{4}{x^3-4x}\right):\frac{4040}{x}\)
rút gọn biểu thức A =\(\left(\frac{4x}{x^2-4}+\frac{2x-4}{x+2}\right).\frac{x+2}{2x}+\frac{2}{2-x}\)
