[tex]a) \: \frac{2 {y}^{2} + 4.2y}{2y} = \frac{2y(y + 2.1)}{2y} = y + 2.1 \\ b) \: \frac{12 {m}^{2} - 6.2m + 24 }{2} = \frac{2(6 {m}^{2} - 3.1m + 12)}{2} = 6 {m}^{2} - 3.1m + 12 \\ c) \: \frac{ - 18 {y}^{2} - 6y}{ - 6y} = \frac{ - 6y(3y + 1)}{ - 6y} = 3y + 1 \\ d) \: \frac{3cv - 2.7c}{3c} = \frac{3c(v - 0.9)}{3c} = v - 0.9[/tex]
