Question

$( 10^{n} - 4^{n} ):( 5^{n} - 2^{n} )=$

Answer 1

=[(2x5)^n-(2x2)^n]/(5^n-2^n)
=[2^n(5^n-2^n)]/(5^n-2^n)   se simplifica cu 5^n-2^n
=2^n

Answer 2

$(10^n-4^n):(5^n-2^n)= \\ \\ =2^n \cdot (5^n-2^n):(5^n-2^n)= \\ \\ =2^n. \\ \\ (l-am~dat~factor~comun~pe~2^n~in~prima~paranteza)$