Question

(3х^2 +2х-5)/(3х^2+5х) сократите дробь

Answer 1

$\frac{3x^2+2x-5}{3x^2+5x}= \frac{(3x^2-3x)+(5x-5)}{3x^2+5x}= \frac{3x(x-1)+5(x-1)}{3x^2+5x}= \frac{(x-1)(3x+5)}{x(3x+5)}=\frac{x-1}{x}$

Answer 2

3x²+5x-3x-5/x*(3x+5)=x*(3x+5)-(3x+5)/x*(3x+5)=(x-1)*(3x+5)/x*(3x+5)=x-1/x