Răspuns :
[tex] \frac{ {x}^{2} - 49 }{ {x}^{2} + 14x + 49} = \frac{(x - 7)(x +7 )}{ {(x + 7)}^{2} } = \frac{x - 7}{x + 7} [/tex]
[tex]\frac{x^2-49}{x^2+14x+49} \\ \\
=\frac{\left(x+7\right)\left(x-7\right)}{x^2+14x+49} \\ \\
=\frac{\left(x+7\right)\left(x-7\right)}{\left(x+7\right)^2} \\ \\
=\frac{x-7}{x+7}[/tex]