Question

sendo
${ a}^{2} + {b}^{2} = 10$
$( a-b)^{2} = 100$
Calcule
$\frac{ab}{3}$

Answer 1

Boa noite

a² + b² = 10
(a - b)² = 100

(a - b)² = a² - 2ab + b² = 100

2ab = a² + b² - 100
2ab = 10 - 100 = -90
ab = -45


ab/3 = -45/3 = -15