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(2/3+1/2)puterea 2=(2/3)puterea 2+(1/2)puterea 2+2*2/3*1/2
adevarat sau fals???


Răspuns :

Masami

[tex]( \frac{2}{3} + \frac{1}{2} ) ^{2} = ( \frac{2}{3} )^{2} + ( \frac{1}{2} )^{2} + 2 \times \frac{2}{3} \times \frac{1}{2} [/tex]
**aduci la numitor comun in prima paranteza si simplifici 2/3 cu 1/2 dupa egal
[tex]( \frac{7}{6} ) ^{2} = ( \frac{2}{3} )^{2} + ( \frac{1}{2}) ^{2} + \frac{2}{3} [/tex]
**ridici la patrat fractiile
[tex]( \frac{x}{y} )^{2} = \frac{x^{2} }{ {y}^{2} } [/tex]
[tex] \frac{49}{36} = \frac{4}{9} + \frac{1}{4} + \frac{2}{3} [/tex]
**aduci la numitor comun dupa egal si e adevarat
[tex] \frac{49}{36} = \frac{49}{36} [/tex]