\(=\dfrac{x^2-4-5-x+3}{\left(x-2\right)\left(x-3\right)}=\dfrac{x^2-x-6}{\left(x-2\right)\left(x-3\right)}\)
\(=\dfrac{\left(x-3\right)\left(x+2\right)}{\left(x-2\right)\left(x-3\right)}=\dfrac{x+2}{x-2}\)
Làm tính cộng các phân thức sau :
a) \(\dfrac{5}{2x^2y}+\dfrac{3}{5xy^2}+\dfrac{x}{y^3}\)
b) \(\dfrac{x+1}{2x+6}+\dfrac{2x+3}{x\left(x+3\right)}\)
c) \(\dfrac{3x+5}{x^2-5x}+\dfrac{25-x}{25-5x}\)
d) \(x^2+\dfrac{x^4+1}{1-x^2}+1\)
e) \(\dfrac{4x^2-3x+17}{x^3-1}+\dfrac{2x-1}{x^2+x+1}+\dfrac{6}{1-x}\)
\(^{\dfrac{x+2}{x+3}-\dfrac{5}{x^2+x-6}+\dfrac{1}{2-x}}\)
a,rút gọn phân thức
Rút gọn:
a)\(\dfrac{2}{2x+1}-\dfrac{1}{2x-1}+\dfrac{4}{4x^2-1}\)
b)\(\dfrac{4x^2-3x+5}{x^3+1}-\dfrac{1-2x}{x^2+x+1}-\dfrac{6}{x-1}\)
1) \(\dfrac{1}{x^2+6x+9}+\dfrac{1}{6x-x^2+9}+\dfrac{x}{x^2-9}\) 2) \(\dfrac{x^2+2}{x^3-1}+\dfrac{2}{x^2+x+1}+\dfrac{1}{1-x}\) 3) \(\dfrac{x-3}{x+1}-\dfrac{x+2}{x-1}+\dfrac{8x}{x^2-1}\)
\(\dfrac{1}{x+3}+\dfrac{8-x}{4x^2+8x}\)
\(\dfrac{3-2x}{\left(x-5\right)\left(x+2\right)}+\dfrac{1}{x+5}\)
a)\(\dfrac{2}{x+3}+\dfrac{1}{x}\)
b)\(\dfrac{x+1}{2x-2}+\dfrac{-2x}{x^2-1}\)
c)\(\dfrac{y-12}{6y-36}+\dfrac{6}{y^2-6y}\)
d)\(\dfrac{6+x}{x+3x}+\dfrac{3}{2x+6}\)
1. \(\dfrac{x-1}{x+1}+\dfrac{-\left(x+1\right)}{x-1}+\dfrac{4}{x^2-1}\)
2. \(\dfrac{4-2x+x^2}{2+x}+\left(-2-x\right)\)
3. \(\dfrac{x^3+4x^2+x-6}{x^3+2x^2-x-2}\)
4. \(\dfrac{ab+cx+ax+bx}{ay+2cx+2ax+cy}\)
Làm tính cộng :
a) \(\dfrac{5x+30}{x^3-x^2-6x}+\dfrac{4x+12}{x^2+2x}+\dfrac{x}{3-x}\)
b) \(\dfrac{x}{x+1}+\dfrac{1}{1-x^2}+\dfrac{x^5+x+1}{x^4+x^3-x-1}\)
Bài 1:tính
a)\(\dfrac{x^2-2^{ }}{x\left(x-1\right)^2}+\dfrac{2-x}{x\left(1-x\right)^2}\)
b)\(\dfrac{3}{2x}+\dfrac{3x-3}{2x-1}+\dfrac{2x^2+1}{4x^2-2x}\)
c)\(\dfrac{x}{x-1}+\dfrac{2}{x^2+x+1}+\dfrac{4x^2-1}{1-x^3}\)
