Thực hiện các phếp tính
1)\(\frac{4x-1}{3x^2y}-\frac{7x-1}{3x^2y}\)
2)\(\frac{3}{2x+6}-\frac{x-6}{2x^2+6x}\)
3)\(\frac{1}{1-x}+\frac{2x}{x^2-1}\)
4)\(\frac{1}{xy-x^2}-\frac{1}{y^2-xy}\)
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a)= \(\frac{-1}{xy}\)
b)\(\frac{3}{2x+6}\) - \(\frac{x-6}{2x^2+6x}\)= \(\frac{3x}{2x\left(x+3\right)}\)- \(\frac{x-6}{2x\left(x+3\right)}\)= \(\frac{2x+6}{2x\left(x+3\right)}\)= \(\frac{2\left(x+3\right)}{2x\left(x+3\right)}\)= \(\frac{1}{x}\)
c)\(\frac{1}{xy-x^2}\)- \(\frac{1}{y^2-xy}\)= \(\frac{1}{x\left(x-y\right)}\)- \(\frac{1}{-y\left(x-y\right)}\)= \(\frac{y}{xy\left(x-y\right)}\)- \(\frac{-x}{xy\left(x-y\right)}\)= \(\frac{y+x}{xy\left(x-y\right)}\)
nhớ tick nhé