Question

(3-1/3)^2+(2-1/2)^2-(1 1/2)^2​

Answer 1

Răspuns:

$\boxed{\boxed{\bf \frac{64}{9} }}$

Explicatie pas cu pas:

$\mathbf{(3 - \frac{1}{3}) {}^{2} + (2 - \frac{1}{2} ) {}^{2} - (1 \frac{1}{2} ) {}^{2} }$

$\mathbf{(3 - \frac{1}{3} ) {}^{2} + (2 - \frac{1}{2} ) {}^{2} - ( \frac{1 \times 2 + 1}{2} ) {}^{2} }$

$\mathbf{(3 - \frac{1}{3}) {}^{2} + ( 2 - \frac{1}{2} ) {}^{2} - ( \frac{2 + 1}{2}) {}^{2} }$

$\mathbf{( \frac{8}{3}) {}^{2} + ( \frac{3}{2}) {}^{2} - ( \frac{3}{2}) {}^{2} }$

$\mathbf{ = ( \frac{8}{3} ) {}^{2} = \frac{8 {}^{2} }{ {3}^{2} } =\boxed{\boxed{\bf \frac{64}{9} }} }$

Bafta ! :)