X-25/5x-25 - 3x+5/5x-x^2 выполните вычитание дробей

Question

X-25/5x-25 - 3x+5/5x-x^2
выполните вычитание дробей

Answer 1

(x-25)/5(x-5)+(3x+5)/x(x-5)=[x(x-25)+5(3x+5)]/[5x(x-5)]=
=(x²-25x+15x+25)/[5x(x-5)]=(x²-10x+25)/[5x(x-5)]=(x-5)²/[5x(x-5)]=(x-5)/5x