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3×5LA PUTEREA 47 +2×5LA PUTEREA 48 +6×5LA PUTEREA 49

Răspuns :

Didi12342
3 × 5^47 + 2 × 5^48 + 6 × 5^49 =
(dam factor comun 5^47)
= 5^47 × (3 + 2 × 5 + 6 × 5^2) =

= 5^47 × (3 + 10 + 6 × 25) =

= 5^47 × (13 + 150) =

= 5^47 × 163
3•5^47+2•5^48+6•5^49=
Liam factor comin pe 5^47
3•5^47+2•5^47•5+6•5^47•5^2=
3•5^47+10•5^47+150•5^47=
5^47•(3+10+150)=5^47•163
Raspuns:5^47•163

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