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101 patrat - 102 patrat -103 patrat + 104 patrat - 105 patrat +106 patrat +107 patrat - 108 patrat

Cum se face ( patrat = la puterea a 2)



Răspuns :

101²=(100+1)²
(100+1)²-(100+2)²-(100+3)²+(100+4)²-(100+5)²+(100+6)²+(100+7)²-(100+8)²=
100(1²-2²-3²+4²-5²+6²+7²-8²)=
100(1-4-9+16-25+36+49-64)=100·0=0