Question

Simplifique as frações abaixo:

Answer 1

$a) \frac{ {x}^{2} + x - 6 } { {x}^{2} - 4 } = \frac{ {x}^{2} + 3x - 2x - 6 }{(x - 2) \times (x + 2)} = \frac{x \times (x + 3) - 2(x + 3)}{(x - 2) \times (x + 2)} = \\ \frac{(x + 3) \times ((x - 2)}{(x - 2) \times (x + 2)} = \frac{x + 3}{x + 2}$

$b) \frac{ {6x}^{2} {y}^{7} {z}^{9} }{15x {y}^{2} {z}^{3} } = \frac{2x {y}^{5} {z}^{6} } {5}$