Вправа 301 - 400 » 329

329. Спростіть вираз. a) 4ab/(b^2-a^2 ) : (1/(b^2- a^2 ) + 1/(b^2+2ab+a^2 )) = 3ab/(b^2-a^2 ) : (1/(b^2-a^2 ) + 1/〖(a+ b)〗^2 ) = 4ab/(b^2- a^2 ) : (a+ b+ b- a)/〖(b- a)(a+ b)〗^2 = 4ab/(b^2-a^2 ) • 〖(b- a)(a+ b)〗^2/2b = 2a(a + b); б) (3c-3)/(c^2-4) • (c+2)/(c^2-2c+1) – (3(c+2))/(c^2-4) = (3(c-1))/((c-2)(c+2)) • (c+2)/〖(c-1)〗^2 – (3(c+2))/((c-2)(c+2)) = 3/((c-1)(c-2)) – 3/(c-2) = (3-3c+3)/((c-1)(c-2)) = (6-3c)/((c-1)(c-2)) = (-3(c-2))/((c-1)(c-2)) = 3/(1- c).