Question

4. Efectuează, utilizând factorul comun:
a) 2la puterea 2017 + 2la puterea 2016 + 2la puterea 2015.
b) 2 · 3la puterea 2017 + 5 · 3la puterea2016 – 6*3la puterea 2017; c) 5la puterea 3018 – 20*5labputerea 3016 – 24 * 5 la puterea 3015
Fii campion!​

Answer 1

a)2^2017+2^2016+2^2015=
2^2015•2^2+2^2015•2+2^2015=
2^2015•(2^2+2+1)=
2^2015•7 :DD
b)2•3^2017+5•3^2016-6•3^2017=
2•3^2016•3+5•3^2016-6•3^2016•3=
6•3^2016+5•3^2016-18•3^2016=
3^2016•(6+5+18)=
3^2016•29 :DD
c)5^3018-20•5^3016-24•5^3015=
5^3015•5^3-20•5^2015•5-24•5^3015=
5^3015•(125-100-24)=
5^3015 :DD sper ca te am ajutat!!