Вправи 401 - 467 » 404

404. Спростіть вираз: 1) a^2/(a+3) – 9(a + 3)–1 = a^2/(a+3) – 9/(a+3) = (a^2-9)/(a+3) = ((a-3)(a+3))/(a+3) = a – 3; 2) p/(m- p) – m(m – p)–1 = p/(m- p) – m/(m- p) = (p- m)/(m- p) = –(m- p)/(m- p) = –1; 3) x^3/(x+ y) – (x3 – y)(x + y)–1 = x^3/(x+ y) – (x^3- y)/(x+ y) = (x^3-x^3+ y )/(x+ y) = y/(x+ y); 4) 1/(m- p) + p(m – p)–2 = 1^(\m-p)/(m- p) + p/〖(m- p)〗^2 = (m- p+ p)/〖(m- p)〗^2 = m/〖(m- p)〗^2 .