1.)
[tex] \frac{2x}{x - 1} + \frac{x}{x - 1} \\ = \frac{2x + x}{x - 1} \\ = \frac{3x}{x - 1} [/tex]
2.)
[tex] \frac{4x + 1}{x + 6} - \frac{2x - 8}{x + 6} \\ = \frac{4x + 1 - (2x - 8)}{x + 6} \\ = \frac{4x + 1 - 2x + 8}{x + 6} \\ = \frac{2x + 9}{x + 6} [/tex]
3.)
[tex]( \frac{ {y}^{2} - y - 2 }{5y } )( \frac{10y}{y + 1} ) \\ = \frac{10y( {y}^{2} - y - 2) }{5y(y + 1)} \\ = \frac{2y( {y}^{2} - y - 2) }{y + 1} \\ = \frac{2y(y - 2)( y + 1)}{y + 1} \\ = 2y(y - 2)[/tex]
4.)
[tex] \frac{6}{28x + 4} \div \frac{6}{35x + 5} \\ = \frac{6}{28x + 4} \times \frac{35x + 5}{6} \\ = \frac{35x + 5}{28x + 4} \\ = \frac{5(7x + 1)}{4(7x + 1)} \\ = \frac{5}{4} [/tex]
