rút gọn biểu thức
\(\left(\frac{1}{x+1}-\frac{3}{x^3+1}+\frac{3}{x^2-x+1}\right):\frac{3x^2-3x+3}{\left(x+1\right)\left(x+2\right)}-\frac{2x-2}{x^2+2x}\)
Rút gọn biểu thức sau:\(\left(\frac{1}{x}+1-\frac{3}{x^3+1}+\frac{3}{x^2-x+1}\right).\frac{3x^2-3x+3}{\left(x+1\right)\left(x+2\right)}-\frac{2x-2}{x^2+2x}\)
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:
\(\left(\frac{x-1}{x^3}-\frac{x-1}{x^3-x^2}+\frac{3}{x^3-2x^2+x}\right):\frac{16x^2+16x-8}{x^5-2x^4+x^3}\)
Rút gọn:
M = \(\frac{2x}{x^2-1}+\frac{4x}{x^3-3x^2-x-3}-\frac{2x^2}{3+2x-x^2}\)
Rút gọn
C=\(\left(\frac{1}{x-1}-\frac{2x}{x^3+x-x^2-1}\right):\left(1-\frac{2x}{x^2+1}\right)\)
rút gọn
a, (2x-1) (3x+5)-2(-4x+1)2
b, \(\frac{x^2-16}{4x-x^2}\)
c, \(\frac{2x-9}{x^2-5x+6}+\frac{2x+1}{x-3}+\frac{x+3}{2-x}\)
d, (x-1)3-(x+1)3+6(x+1) (x-1)
e, (2x+7)2-(4x+14) (2x-8)+(8-2x)2
Rút gọn phân thức :
a) \(P=\left(\frac{1}{x-1}-\frac{x}{1-x^3}.\frac{x^2+x+1}{x+1}\right):\frac{2x+1}{x^2+2x+1}\)
b) \(Q=\frac{x^2+2x}{2x+10}+\frac{x-5}{x}+\frac{50-5x}{2x\left(x+5\right)}\)
P/s : Típ nè :v
1. Rút Gọn A = \(\frac{3m+\sqrt{9m}-3}{m+\sqrt{m}-2}-\frac{\sqrt{m}-2}{\sqrt{m}-1}+\frac{1}{\sqrt{m}+2}-1\)
2. Rút Gọn C = \(\left(\frac{1}{x+1}-\frac{3}{x^3+1}+\frac{3}{x^2-x+1}\right)\times\frac{3x^2-3x+3}{x^2+3x+2}-\frac{2x-2}{x^2+2x}\)