Question

sa se simplifice fractia 3•4^n • 5^n+2 + 4^n+1 • 5^n+2 supra 20^n+1 +5 • 20^n​

Answer 1

Explicație pas cu pas:

3×4^n×5^(n+2)+4^(n+1)×5^(n+2)=

3×4^n×5^n×5²+4^n×4×5^n×5²=

20^n×75+20^n×100=20^n×175

20^(n+1)+5×20^n=20^n×20+5×20^n=

20^n×25

20^n×175/20^n×25=5