Question

Simplificati fractia x² - 10x + 25 supra x² - 25 ; x € R - { ±5} .

Answer 1

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

Answer 2

[tex] x^{2} -10x+25= (x-5)^{2} [/tex]
$x^{2} -25=(x+5)(x-5)$
$\frac{ x^{2} -10x+25}{ x^{2} -25}= \frac{ (x-5)^{2} }{(x-5)(x+5)}$
Simplificam prin x-5
$\frac{(x-5) ^{2} }{(x+5)(x-5)}= \frac{x-5}{x+5}$