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a=432×289+1+2+3+......+288 este patrat perfect

Răspuns :

A=432×289+1+2+3+......+288=
=
432×289+288×289:2=
=
432×289+144×289=
=289×(432+144)=
=289×576=
=17²×24²=
=(17×24)²=
=408²