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Calculati: (2/3)La puterea 2 + (1/3) la puterea 2 - (1/2 × 1/3) la puterea 2.

Răspuns :

(2/3)²+(1/3)²-(1/2*1/3)²=
=4/9+1/9-(1/6)²=
=4/9+1/9-1/36=
=5/9-1/36=
=20/36-1/36=19/36
(2/3)² + (1/3)² - (1/2 x1/3)²=
4/9 + 1/9  - (1/6)² =
4/9 + 1/9 - 1/36 =
numitorul comun este 36
16/36 + 4/36 -1/36 = (16+4-1)/36=19/36