Question

calculeaza:

diferenta
$( \frac{5}{4} - \frac{2}{3} ) {}^{2} - \frac{1}{2} {}^{2}$

Answer 1

$\frac{5}{4}^{2} }$ - 2·$\frac{5}{4}$ · $\frac{2}{3}$ +$\frac{2}{3}^{2}$ - $\frac{1}{4}$
= $\frac{25}{16} - \frac{20}{12} + \frac{4}{9} - \frac{1}{4}$
numitorul comun e 144, prima fractie se amplifica cu 9, a 2a cu 12, a 3a cu 16 si a 4a cu 36
= $\frac{225-240+64-36}{144}$
= $\frac{13}{144}$