Question

simplificati fractiile:
a)7^10+2*7^11+3*7^12 supra 12*7^10
b)5^20+5^21+5^22 supra 4*10^20+2*10^21+10^22

Answer 1

a) dam factor comun pe 7^10 (1+2*7+3*7^2)=7^10*(15+147)=7^10*162
acum avem fractia 7^10*162/7^10*12=162/12=81/6=27/2
b)Dam factor comun pe 5^20(1+5+5^2)=5^20(6+25)=5^20*31
Dam factor comun pe 10^20(4+20+100)=10^20*124 =(2*5)^20 *124=2^20*5^20*124
facem raportul si simplificam prin 5^20 , 31/2^20*124