Question

desconpuneti in produs utilizand metoda factorului comun 2 la puterea 2005+2 la puterea 2003 + 2 la puterea 2001​

Answer 1

Răspuns:

${2}^{2005} + {2}^{2003} + {2}^{2001} = {2}^{2001} \times {2}^{4} + {2}^{2001} \times {2}^{2} + {2}^{2001} = {2}^{2001} \times ( {2}^{4} + {2}^{2} + 1) = {2}^{2001} \times (16 + 4 + 1) = {2}^{2001} \times 21$

Te folosesti de proprietatea puterilor : 2 la puterea a 3a = 2 la puterea (2+1)= 2 la puterea a2a * 2 la puterea 1