\(\dfrac{x^2+5x+6}{x^2+6x+9}=\dfrac{x^2+2x+3x+6}{x^2+6x+9}=\dfrac{x\left(x+2\right)+3\left(x+2\right)}{\left(x+3\right)^2}=\dfrac{\left(x+3\right)\left(x+2\right)}{\left(x+3\right)^2}=\dfrac{x+2}{x+3}\)
rút gọn phân thức
a.\(\dfrac{5x-15}{4x+4}:\dfrac{x^2-9}{x^2+2x+1}\)
b.\(\dfrac{6x+48}{7x-7}:\dfrac{x^2-64}{x^2-2x+1}\)
c.\(\dfrac{4x-24}{5x+5}:\dfrac{x^2-36}{x^2+2x+1}\)
d.\(\left(\dfrac{1}{x^2+x}-\dfrac{2-x}{x+1}\right):\left(\dfrac{1}{x}+x-2\right)\)
Rút gọn:
a, \(\dfrac{4x^2-8xy}{10y-5x}\)
b, \(\dfrac{\left(x-2\right)^2-1}{x^2-6x+9}\)
c, \(\dfrac{x^2+8x+16}{x^2-16}\)
Rút gọn phân thức sau:
a)\(\dfrac{3}{2x+6}-\dfrac{x-6}{2x^2+6x}\)
b)\(\dfrac{4}{x+2}+\dfrac{2}{x-2}+\dfrac{5x+6}{4-x^2}\)
c)\(\dfrac{1-3x}{2x}+\dfrac{3x-2}{2x-1}+\dfrac{3x-2}{2x-4x^2}\)
d)\(\dfrac{x^2+2}{x^3-1}+\dfrac{2}{x^2+x+1}+\dfrac{1}{1-x}\)
Rút gọn
\(\left(\dfrac{2}{x-1}-\dfrac{1}{x+1}\right)\dfrac{x^2_{ }-1}{x^2+6x+9}+\dfrac{x+1}{2x+6}\)
Tính tổng sau:
a, \(\dfrac{-1}{x^2-x}+\dfrac{-1}{x^2-3x+2}+\dfrac{-1}{x^2-5x+6}+\dfrac{-1}{x^2-7x+12}+\dfrac{-1}{x^2-9x+20}+\dfrac{1}{x-5}\)
b, \(\dfrac{3}{x\left(x+3\right)}+\dfrac{3}{\left(x+3\right)\left(x+6\right)}+\dfrac{3}{\left(x+6\right)\left(x+9\right)}+\dfrac{1}{x+9}\)
a, \(\dfrac{3}{2x+6}-\dfrac{x-6}{2x^2+6x}\)
b, \(\dfrac{x+2}{x-3}-\dfrac{x^2+6}{x^2-3x}\)
c, \(\dfrac{1}{9x-18}+\dfrac{16-7x}{72-18x}+\dfrac{5}{12x-24}\)
Rút gọn các biểu thức sau:
a, P = (\(\dfrac{x}{x^2-36}-\dfrac{x-6}{x^2+6x}\) ) : \(\dfrac{2x-6}{x^2+6x}\) ( với x \(\ne\) -6; x\(\ne6;x\ne0;x\ne3\))
b, S = (\(\dfrac{2+x}{2-x}-\dfrac{4x^2}{x^2-4}-\dfrac{2-x}{2+x}\)) : \(\dfrac{3x-x^2}{2x^2-x^3}\) ( với \(x\ne0;x\ne-2;x\ne2\))
\(\dfrac{\text{80x3-125x}}{3\left(x-3\right)-\left(x-3\right)\left(8-4x\right)}\) \(\dfrac{9-\left(x+5^{ }\right)^2}{x^2+4x+4}\)
\(\dfrac{32x-8x^2+2x^3}{x^3+64}\) \(\dfrac{x^2+5x+6}{x^2+4x+4}\)
rút gọn phân thức
1.\(\dfrac{3\left|x-4\right|}{3x^2-3x-36}\)
2.\(\dfrac{9-\left(x+5\right)^2}{x^2+4x+4}\)
3.\(\dfrac{x^2+5x+6}{x^2+4x+4}\)
