Question

Сократите....(x^2- bx- ax + ab)/(x^2+ bx – ax - ab)

Answer 1

$frac{x^2- bx- ax + ab}{x^2+ bx -ax - ab}=\ frac{(x^2- bx)- (ax-ab)}{(x^2+ bx) -(ax+ab)}=\ frac{x(x-b)- a(x-b)}{x(x+ b) -a(x+b)}=\ frac{(x-a)(x-b)}{(x-a)(x+b)}=\ frac{x-b}{x+b}$