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a fost răspuns

Aratati ca este patrat perfect:
n=2^7x6^18-2^25x9^8
DAU COROANA!!!!!!!

Răspuns :

n=2^7x6^18-2^25x9^8=
=(2^7)x(2x3)^18 -(2^25)x(3^2)^8=
=(2^7)x(2^18)x(3^18)-(2^25)x(3^16)=
=(2^25)x(3^18)-(2^25)x(3^16)=
=(2^25)x(3^16)x[3^2 -1]=
=(2^25)x(3^16)x8=
=(2^25)x(3^16)x(2^3)=
=(2^28)x(3^16)=[(2^14)x(3^8)]^2=patrat perfect

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