Quy đồng mẫu thức các phân thức
a) \(\frac{3}{x^2-2x}\) ; \(\frac{4}{3x-6}\) ; \(\frac{4x+1}{x^2-x-2}\)
b) \(\frac{2m}{m^2-n^2}\) ; \(\frac{2n^2}{m^3-n^3}\)
c) \(\frac{x-z}{x^2+xy+xz+yz}\); \(\frac{x+z}{x^2+xy-xz-yz}\)
d) \(\frac{x}{2x^2+7x-15}\); \(\frac{x+2}{x^2+3x-10}\); \(\frac{1}{x+5}\)
e) \(\frac{x+1}{x-x^2}\); \(\frac{x+2}{2-4x+2x^2}\)
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![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2:
a: \(\dfrac{1}{2x^3y}=\dfrac{6yz^3}{12x^3y^2z^3}\)
\(\dfrac{2}{3xy^2z^3}=\dfrac{2\cdot4x^2}{12x^3y^2z^3}=\dfrac{8x^2}{12x^3y^2z^3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{x^2-4}{x^2+2x}=\dfrac{\left(x-2\right)\left(x+2\right)}{x\left(x+2\right)}=\dfrac{x-2}{x}=\dfrac{\left(x-2\right)^2}{x\left(x-2\right)}\)
\(\dfrac{x}{x-2}=\dfrac{x^2}{x\left(x-2\right)}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) MTC: 2xy
Quy đồng: \(\frac{2x-3y}{2xy}\) giữ nguyên
\(\frac{x+2y}{x}=\frac{2y\left(x+2y\right)}{2xy}=\frac{2xy+y^2}{2xy}\)
b) \(\frac{2}{x^2-4x}=\frac{2}{x\left(x-4\right)};\frac{x}{x^2-16}=\frac{x}{\left(x-4\right)\left(x+4\right)}\)
MTC: x (x-4)(x+4)
Quy đồng : \(\frac{2}{x\left(x-4\right)}=\frac{2\left(x+4\right)}{x\left(x-4\right)\left(x+4\right)}=\frac{2x+8}{x\left(x-4\right)\left(x+4\right)}\)
\(\frac{x}{\left(x+4\right)\left(x-4\right)}=\frac{x^2}{x\left(x-4\right)\left(x+4\right)}\)
Học tốt nhé ^3^
![](https://rs.olm.vn/images/avt/0.png?1311)
a,\(\frac{2x^2+4x}{x+2}\)=\(\frac{2x\left(x+2\right)}{x+2}\)\(=2x\)
b, \(\frac{3x}{2x+4}\)=\(\frac{3x^2-6x}{2\left(x+2\right)\left(x-2\right)}\)
\(\frac{x+3}{x^2+4}\)=\(\frac{2x+6}{2\left(x-2\right)\left(x+2\right)}\)
tick mình nhé!!
![](https://rs.olm.vn/images/avt/0.png?1311)
a: 1/x^2y=1/x^2y
3/xy=3x/x^2y
b: \(\dfrac{x}{x^2+2xy+y^2}=\dfrac{x}{\left(x+y\right)^2}\)
\(\dfrac{2x}{x^2+xy}=\dfrac{2}{x+y}=\dfrac{2x+2y}{\left(x+y\right)^2}\)