a) MTC: `6x³y^5`
$\dfrac{8}{3x²y} = \dfrac{8.2xy^{4}}{3x²y.2xy^{4}} = \dfrac{16xy^{4}}{6x³y^{5}}; \dfrac{9}{6x³y^{5}}$
b) MTC: $6x^{3}.(x -2)$
$\dfrac{5}{x² -2x} = \dfrac{5.6x^{2}}{6x^{3}.(x -2)} = \dfrac{30x^{2}}{6x^{3}.(x -2)}$
$\dfrac{7 -x}{6x²} = \dfrac{x.(7 -x).(x -2)}{6x³.(x -2)} = \dfrac{-x³ -14x +9x²}{6x³.(x -2)}$
c) MTC: $5x.(x -1)$
$\dfrac{x}{5x -5} = \dfrac{x}{5.(x -1)} = \dfrac{x²}{5x.(x -1)}$
$\dfrac{9}{x² -1} = \dfrac{9}{x.(x -1)} = \dfrac{45}{5x.(x -1)}$
d) MTC: $3x.(x -3)$
$\dfrac{7}{x² -3x} = \dfrac{7}{x.(x -3)} = \dfrac{21}{3x.(x -3)}$
$\dfrac{9}{3x -9} = \dfrac{9}{3.(x -3)} = \dfrac{9x}{3x.(x -3)}$
