Вправа 301 - 400 » 330

330. Спростіть вираз. a) (x^2/(x+ a) – x^3/(x^2+2ax+a^2 )) : (x/(x+ a) – x^2/(x^2-a^2 )) = (x(a- x))/(x+ a); 1. x^2/(x+ a) – x^3/〖(x+ a)〗^2 = (x^2 (x+ a)-x^3 )/〖(x+ a)〗^2 = (x^3+〖ax〗^2-x^3 )/〖(x+ a)〗^2 = 〖ax〗^2/〖(x+ a)〗^2 ; 2. x/(x+ a) – x^2/((x-a)(x+ a)) = (x(x- a)- x^2)/((x- a)(x+ a)) = (x^2- ax- x^2)/((x- a)(x+ a)) = (-ax)/(x^2- a^2 ) = ax/(a^2- x^2 );