Question

Scrieti urmatoarele numere sub forma de produs, utilizand factorul comun :a) 2⁷⁶+2⁷⁸+2⁸⁰ b)3•5⁴⁷+2•5⁴⁸+6•5⁴⁹ c)13¹⁴•3-13¹³•2-13¹² Raspunde.ti va roooggg​

Answer 1

2⁷⁶+2⁷⁸+2⁸⁰ =

= 2⁷⁶(1 + 2² + 2⁴)

= 2⁷⁶(1 + 4 + 16)

= 2⁷⁶×21

3•5⁴⁷+2•5⁴⁸+6•5⁴⁹ =

= 5⁴⁷(3 + 2×5 + 6×5²)

= 5⁴⁷(3 + 10 + 150)

= 5⁴⁷×163

13¹⁴•3 - 13¹³•2 - 13¹² =

= 13¹²(13²×3 - 13×2 - 1)

= 13¹²(169×3 - 26 - 1)

= 13¹²(507 - 26 - 1)

= 13¹²×480