Question

Simplificati fractia: 2^nX7^n+1+14^n+1-14^n supra 2^n+2X7^n+14^n. URGENT!!!! OFER COROANA RASPUNSULUI CORECT INSTANT!

Answer 1

(2^n*7^n+14^n+1-14^n):((2^n+2*7^n+14^n)=
(2^n*7^n+1+2^n+2*7^n+2-2^n*7^n):(2^n+2*7^n+2^n*7^n)
=2^n*7^n(7+2^2*7^2-1):2^n*7^n(2^2+1)
=(7+4*49-1):5
=202/5

Answer 2

(2ⁿ ×7ⁿ⁺¹+14ⁿ⁺¹ -14ⁿ ) ÷ ( 2ⁿ⁺²*7ⁿ+14ⁿ) =
=(14ⁿ* 7+14ⁿ*7- 14ⁿ ) ÷  (  2ⁿ*2²*7ⁿ+ 2ⁿ*7ⁿ)
=[14ⁿ* (7+7-1) ]  ÷  (14ⁿ*2+14ⁿ) =
= [14ⁿ * (-1) ] ÷ [ 14ⁿ *(2+1)]=
= [14ⁿ * (-1) ] ÷ ( 14ⁿ *3) =  -1/ 3