Question

aratati ca nr. 3^23x4^23-2^21x6^23 este patrat perfect

Answer 1

3^23x4^23-2^21x6^23=
=3^23x(2^2)^23-2^21x(2x3)^23
=3^23x2^46-2^21x2^23x3^23
=3^23x2^46-2^(21+23)x3^23
=3^23x2^46-2^44x3^23
=3^23x2^44(2^2-1)
=3^23x2^44x3
=3^(23+1)x2^44
=3^24x2^44
=(3^12)^2x(2^22)^2
=(3^12x2^22)^2=>patrat perfect