Question

Determine o valor da expressão numérica.
$( - 3) { }^{2} - ( - \frac{1}{2}) {}^{2} \times ( + 2) {}^{2} + ( \frac{1}{2} ) {}^{2}$

Answer 1

$( - 3)^{2} - ( - \frac{1}{2})^{2} \times ( + 2)^{2} + ( \frac{1}{2} )^{2}\\ \\=9 - \frac{1}{4} \times 4 + \frac{1}{4}\\ \\=9 - \frac{4}{4} + \frac{1}{4}\\ \\= 9 - 1+ \frac{1}{4}\\ \\= 8+ \frac{1}{4}\\ \\ =\frac{32}{4} +\frac{1}{4} \\ \\= \frac{32+1}{4}\\ \\= \frac{33}{4}$