Răspuns :
Răspuns: Ai demonstratia mai jos
Explicație pas cu pas:
Salutare!
[tex]\bf \dfrac{\dfrac{4}{2}\cdot\dfrac{1}{2}+\dfrac{2}{3}\cdot2}{\dfrac{2}{3}\cdot\dfrac{1}{2}}= \dfrac{\dfrac{2}{3}+\dfrac{4}{3} }{\dfrac{1}{3}}[/tex]
[tex]\bf \dfrac{\dfrac{\not4}{2}\cdot\dfrac{1}{\not2}+\dfrac{2}{3}\cdot2}{\dfrac{\not2}{3}\cdot\dfrac{1}{\not2}}= \dfrac{\dfrac{2+4}{3}}{\dfrac{1}{3}}[/tex]
[tex]\bf \dfrac{\dfrac{2}{3}+\dfrac{4}{3}}{\dfrac{1}{3}}= \dfrac{\dfrac{6}{3}}{\dfrac{1}{3}}[/tex]
[tex]\bf \dfrac{\dfrac{2+4}{3}}{\dfrac{1}{3}}= \dfrac{\dfrac{\not6}{\not3}}{\dfrac{1}{3}}[/tex]
[tex]\bf \dfrac{6}{3}:\dfrac{1}{3} = 2:\dfrac{1}{3}[/tex]
[tex]\bf \dfrac{6}{3}\cdot\dfrac{3}{1} = 2\cdot\dfrac{3}{1}[/tex]
[tex]\bf \dfrac{6}{\not3}\cdot\dfrac{\not3}{1} = \dfrac{2\cdot3}{1}[/tex]
[tex]\bf \dfrac{6}{1} = \dfrac{6}{1}[/tex]
[tex]\bf 6 = 6 \implies adevarat[/tex]
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