\[\frac{x^{2} - 14x + 49}{49 - x^{2}} = \frac{(x - 7)^{2}}{(7 - x)(7 + x)} =\]
\[= \frac{(7 - x)²}{(7 - x)(7 + x)} = \frac{7 - x}{7 + x}\]