Question

Si: a - b = 2 ; a3 - b3 = 30 . Calcular G = a.b

Answer 1

Recuerda:

${(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y)$

...

${(a - b)}^{3} = {2}^{3}$

${a}^{3} - {b}^{3} - 3ab(a - b) = 8$

$30 - 3ab(2) = 8$

$- 6ab = - 22$

$ab = \frac{11}{3}$