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cassandre13013
@cassandre13013
January 2021
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Bonjour,
Je dois calculer astucieusement :
45 x 45
33²
102 x 102
2'5²
98 x 98
999 x 999
Et il me faut le detail des calculs MERCI
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trudelmichel
Verified answer
Bonjour
45 x45=(40+5)(40+5)=(40+5)²
(a+b)²=a²+2ab+b²
(40+5)²=40²+5²+2(40x5)) 1600+25+2(200)=1625+400=2025
33²=(30+3)²=30²+2(30x3)+3²=900+9+(2x90)=909+180=1089
102 x102=(102)²=(100+2)²= 100²+2²+2(2x100)=10000+4+2(200)=10404
2.5²=(2+0.5)²=2²+0.5²+2(2x0.5)=4+0.25+2=6.25
98x98=98²=(100-2)²=100²+2²-2(2x100)=10000+4-400=9604
999x999=999²=(1000-1)²=1000²+1²-2000=1000000+1-2000=998001
2 votes
Thanks 1
cassandre13013
Merci
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Verified answer
Bonjour45 x45=(40+5)(40+5)=(40+5)²
(a+b)²=a²+2ab+b²
(40+5)²=40²+5²+2(40x5)) 1600+25+2(200)=1625+400=2025
33²=(30+3)²=30²+2(30x3)+3²=900+9+(2x90)=909+180=1089
102 x102=(102)²=(100+2)²= 100²+2²+2(2x100)=10000+4+2(200)=10404
2.5²=(2+0.5)²=2²+0.5²+2(2x0.5)=4+0.25+2=6.25
98x98=98²=(100-2)²=100²+2²-2(2x100)=10000+4-400=9604
999x999=999²=(1000-1)²=1000²+1²-2000=1000000+1-2000=998001