Question

4^(2n)+2^(2n+1)+1 dau coroana si 50 puncte

Answer 1

Răspuns:   (2^2n + 1)^2

Explicație pas cu pas:

4^(2n) + 2^(2n + 1) + 1 =

(2^2)^2n + 2^(2n + 1) + 1 =

(2^2n)^2 + 2 x 2^n + 1 =

(2^2n + 1)^2

Answer 2

4²ⁿ + 2²ⁿ⁺¹ + 1 =

= (4ⁿ)² + 2ₓ(2²)ⁿ + 1

= (4ⁿ)² + 2ₓ4ⁿ + 1

= (4ⁿ + 1)²

Obs. Am folosit formula

(a + b)² = a² + 2ab + b²