Question

Simplificati ropartele:

x² + 3x         b)x²- 49
_____      ________
x² - 9           x² + 14 x + 49

Answer 1

$a) \frac{ {x}^{2} + 3x}{ {x}^{2} - 9} = \frac{x(x + 3)}{(x - 3)(x + 3)} = \frac{x}{x - 3}$

$b) \frac{ {x}^{2} - 49 }{ {x}^{2} + 14x + 49 } = \frac{(x - 7)(x + 7)}{ {(x + 7)}^{2} } = \frac{x - 7}{x + 7}$