Решение
Числитель:
[(a² + 2ab + b²)/ab] * [(a² + 2ab + b² - 2ab)] / [2a*(a + b)] =
= [(a + b)²*(a² + b²)] / [2a²b(a + b)] = [(a + b)*(a² + b²)] / 2a²b
Знаменатель:
[(a² + 2ab + b²)*(a² - ab + ab + b²)] / [a*(a - b)*(a + b)] =
= [(a + b)²*(a² + b²)] / [a*(a + b)*(a - b)] =
= [(a + b)*(a² + b²)] / {a*(a - b)]
Делим числитель на знаменатель:
[(a + b)*(a² + b²)] / 2a²b : [(a + b)*(a² + b²)] / [a*(a - b)] =
= [(a + b)*(a² + b²)a*(a - b)] / [2a²b*(a + b)*(a² + b²)] =
= (a - b) / 2ab
a = 0,75 ; b = 4/3
(3/4 - 4/3) / [2*(3/4)*(4*3)] = - 7/12 : 2 = - 7/24