Question

simplificati raportul $x^{2} - 2x-15 \\ x^{2} -10x+25$ cu x-5 pss este o fractie

Answer 1

[tex]\sf \frac{x^2-2x-15}{x^2-10x+25}= \frac{x^2+3x-5x-15}{x^2-2*x*5+5^2}= \frac{x(x+3)-5(x+3)}{(x-5)^2} \\ \\ \frac{(\not x-5)(x+3)}{(x-5)^{\not 2}} =\boxed{\sf \frac{x+3}{x-5} }[/tex]