Question

Factor comun :
a) 2^15 * 3 + 2 ^14 * 4 + 2^16 * 5 =
b) 3^10 * 2 + 3^9 * 4 + 3^12 * 10=
c)4^12 * 3 + 4^13 * 6 + 4^16 * 5 - 4^17=
d) 5^24 * 3 - 5^22 * 4 + 5^23 * 5 - 5^24 * 2=
-VA ROG RAPID!!

Answer 1

Răspuns:

a) 2^15 * 3 + 2 ^14 * 4 + 2^16 * 5 =2¹⁴(2·3+1·4+2²·5)=2¹⁴(6+4+20)=2¹⁴·30=2¹⁴·2·3·5=2¹⁵·15

b) 3^10 *2 +3^9*4+3^12*10=3⁹·2·(3·1+1·2+3³·5)=3⁹·2·45=3⁹·90=3⁹·3²·2·5=3¹¹·10

c)4^12 *3 +4^13*6+4^16*5 - 4^17=4¹²(1·3+4·6+4⁴·5-4⁵)=

4¹²(3+24+1280-1024)=4¹²·283

d) 5^24 * 3 - 5^22 * 4 + 5^23*5 - 5^24 * 2=5²²(5²·3-1·4+5·5-5²·2)=

5²²(75-4+25-50)=5²²·46