-x-3=-(x+3) ; -x+3=-(x-3) ; x2-9= (x+3)(x-3)
MTC: (x+3)(x-3)
\(\frac{2}{-x-3}+\frac{3}{-x+3}\)\(+\frac{x^2+11x+12}{x^2-9}\) =\(\frac{\left(-2x+6\right)+\left(-3x-9\right)+\left(x^2+11x+12\right)}{\left(x+3\right)\left(x-3\right)}\)=\(\frac{x^2+6x+9}{\left(x+3\right)\left(x-3\right)}\)=\(\frac{\left(x+3\right)^2}{\left(x+3\right)\left(x-3\right)}\)=\(\frac{x+3}{x-3}\)
Cho x thoa man:\(\frac{x}{x^2+x+1}\)=\(\frac{1}{4}\)
Tinh gia tri cua M=\(\frac{x^5-x^4-2x^3+11x+4}{x^4+x^3-6x^2-7x+5}\)
\(\frac{2x}{x-3}+\frac{x+1}{x+3}+\frac{4}{9-x^2}=0\)
a,\(\frac{1}{2x-2}-\frac{x-1}{3x^2+6x+3}\)
b,\(\frac{4}{x^2-1}+\frac{1}{x+1}+\frac{-2}{x-1}\)
c,\(\frac{5}{2x^2+6x}-\frac{4-3x^2}{x^2-9}-3\)
ai jup em vs
1. Thực hiện phép tính:
a) \(\frac{1-3x}{2x}+\frac{3x-2}{2x-1}+\frac{3x-2}{2x-4}\)
b) \(\frac{1}{x^2+6x+y}+\frac{1}{6x-x^2-9}+\frac{x}{x^2-9}\)
c) \(\frac{x^2+2}{x^3-1}+\frac{2}{x^2+x+1}+\frac{1}{1-x}\)
d) \(\frac{x}{x-2y}+\frac{x}{x+2y}+\frac{4xy}{4y^2-x^2}\)
a, \(\frac{11x+13}{3x-3}+\frac{15x+17}{4-4x}\)
b, \(\frac{3x+5}{x^2-5x}+\frac{25-x}{25-5x}\)
xin các giáo sư giải đáp hộ (gấp) :)
thực hiện phép tính:
\(\frac{1}{x\left(x+1\right)}+\frac{1}{\left(x+1\right)\left(x+2\right)}+\frac{1}{\left(x+2\right)\left(x+3\right)}+...+\frac{1}{\left(x+9\right)\left(x+10\right)}\)
Cộng các phân thức: \(\frac{2}{X-3}\)+\(\frac{2x}{X^2-4x+3}+\frac{x}{X-1}\)
\(\frac{x+1}{2009}+\frac{x+2}{2008}=\frac{x+2007}{3}+\frac{x+2006}{4}\)
\(\frac{1}{\left(x+1\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+5\right)}+\frac{1}{\left(x+5\right)\left(x+7\right)}+\frac{1}{\left(x+7\right)\left(x+9\right)}+\frac{1}{\left(x+9\right)\left(x+11\right)}\)