Question

A= 3 × 2^(6n+3) +10 ×2^(6n+2) este patrat perfect, precum si cub perfect, oricare ar fi n numar natural.

Answer 1

A=3*2^3 * 2^6n + 10*2^2 * 2^6n=2^3 * 2^6n * (3+5)=2^6 * 2^6n=
=2^(6n+6)=2^6(n+1)=[2^3(n+1)]^2 = [2^2(n+1)]^3