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Va rog rezolvati 0,(5 ) ²-3²+0,(2) ²=

Răspuns :

[tex] \bf \Big(\dfrac{5}{9} \Big)^{2}-{3}^{2} + \Big(\dfrac{2}{9} \Big)^{2} [/tex]

[tex]\bf \dfrac{5^{2} }{9^{2} }-9 + \dfrac{2^{2} }{9^{2} } = [/tex]

[tex]\bf \dfrac{25 }{81}- \dfrac{9}{1}+ \dfrac{4 }{81} =[/tex]

[tex]\bf \dfrac{25 }{81}- \dfrac{9 \cdot81}{81}+ \dfrac{4 }{81} =[/tex]

[tex]\bf \dfrac{25 - 729 + 4}{81}=[/tex]

[tex] \boxed{\bf - \dfrac{700}{81}}[/tex]