How do you simplify $\frac{25 - x^{2}}{x^{2} - 10 x + 25}$ $(25-x^2)/(x^2-10x+25)$ ?

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Answer 1 · 2017-08-04T05:10:48

$- \frac{x + 5}{x - 5}$ $- (x + 5)/(x - 5)$

$\frac{25 - x^{2}}{x^{2} - 10 x + 25} = \frac{(5 - x) (5 + x)}{(x - 5) (x - 5)}$ $(25 - x^2)/(x^2 - 10x + 25) = ((5 - x)(5 + x))/((x - 5)(x-5))$

$=(color(blue)(-cancel((x-5)))(5 + x))/(cancel((x - 5))(x-5))$

$= - (x + 5)/(x - 5)$

How do you simplify (25-x^2)/(x^2-10x+25)25−x2x2−10x+25(25-x^2)/(x^2-10x+25)?