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rezolvati cu factor comun

2⁷⁶+2⁷⁵+2⁷⁴=
3·7⁴⁰+2·7⁴¹+5·7³⁹


Răspuns :

nu gasesc egal la tastatura asa ca in loc de egal voi faosi acest semn≈
2⁷⁶+2⁷⁵+2⁷⁴≈2⁷⁴*(2²+2¹+2⁰)≈2⁷⁴*(4+2+1)≈2⁷⁴*7

3*7⁴⁰+2*7⁴¹+5*7³⁹≈7³⁹*(3*7¹+2*7²+5*7⁰)≈7³⁹*(3*7+2*14+5*1)≈7³⁹*(21+28+5)≈7³⁹*54≈7³⁹*7*8≈8*7⁴⁰
2⁷⁶+2⁷⁵+2⁷⁴=2(1⁷⁶+1⁷⁵+1⁷⁴) = 1+1+1= 3 

3·7⁴⁰+2·7⁴¹+5·7³⁹= 7(3·1⁴⁰+2·1⁴¹+5·1³⁹)= 3·1+2·1+5·1=3+2+5=10