Question

[1/2 - (1+1/2)²] . (2 - 2/3)

Answer 1

[1/2-(1+1/2)²].(2-2/3)
Comece por dentro dos parênteses.

[1/2-(2/2+1/2)².(6/3-2/3)
[1/2-(3/2)²].4/3
[1/2-9/4].4/3
[2-9/4].4/3
-7/4.4/3 = -28/12(divide por 4) = -7/3

Answer 2

.
$[ \frac{1}{2} -(1+ \frac{1}{2})^2]\times(2- \frac{2}{3} )=$

$[ \frac{1}{2} -( \frac{2+1}{2} )^2]\times( \frac{6-2}{3} )=$

$[ \frac{1}{2} -( \frac{3}{2} )^2]\times( \frac{4}{3} )= \\ \\ ( \frac{1}{2} - \frac{9}{4} )\times( \frac{4}{3} )= \\ \\ ( \frac{2-9}{4} )\times( \frac{4}{3} )= \\ \\ (- \frac{7}{4} )\times( \frac{4}{3} )= \\ \\ - \frac{7}{3}$