Question

$\frac{3x + 2}{5x} - \frac{5x + 3y}{10xy} =$
$\frac{x - 2}{2x - 6 } - \frac{x - 1}{3x - 9} =$
$\frac{15x}{5 - x} - 3x =$
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Answer 1

1) $\frac{3x + 2}{5x}-\frac{5x + 3y}{10xy} = \frac{2y(3x+2) - 5x - 3y}{10xy} = \frac{6xy+y-5x}{10xy}$

2) $\frac{x - 2}{2x - 6 }-\frac{x - 1}{3x - 9}= \frac{3(x-2)-2(x-1)}{2*3*(x-3)} = \frac{3x-6-2x+2}{6(x-3)} = \frac{x-4}{6x-18}$

3) $\frac{15x}{5 - x}- 3x = \frac{15x-3x(5-x)}{5-x} = \frac{15x-15x+3x^2}{5-x} = \frac{3x^2}{5-x}$