Răspuns:
[tex]\boxed{\boxed{\bf \frac{64}{9} }}[/tex]
Explicatie pas cu pas:
[tex]$\mathbf{(3 - \frac{1}{3}) {}^{2} + (2 - \frac{1}{2} ) {}^{2} - (1 \frac{1}{2} ) {}^{2} }$[/tex]
[tex]$\mathbf{(3 - \frac{1}{3} ) {}^{2} + (2 - \frac{1}{2} ) {}^{2} - ( \frac{1 \times 2 + 1}{2} ) {}^{2} }$[/tex]
[tex]$\mathbf{(3 - \frac{1}{3}) {}^{2} + ( 2 - \frac{1}{2} ) {}^{2} - ( \frac{2 + 1}{2}) {}^{2} }$[/tex]
[tex]$\mathbf{( \frac{8}{3}) {}^{2} + ( \frac{3}{2}) {}^{2} - ( \frac{3}{2}) {}^{2} }$[/tex]
[tex]$\mathbf{ = ( \frac{8}{3} ) {}^{2} = \frac{8 {}^{2} }{ {3}^{2} } =\boxed{\boxed{\bf \frac{64}{9} }} }$[/tex]
Bafta ! :)
