Matematică, întrebare adresată de danm1246, 8 ani în urmă

10 exercitii rezolvate cu formula ​:
(a+b+c) la 2=a la 2+b la 2+c la 2+2ab+2ac+2bc​

Răspunsuri la întrebare

Răspuns de elenakristinuta
1

1) (3+7+2)^2=3^2+7^2+2^2+2×3×7+2×3×2+2×7×2=9+49+4+42+12+28=144

2)(11+9+4)^2=11^2+9^2+4^2+2×11×9+2×11×4+2×9×4=121+81+16+198+88+72=576

3)(3+5+10)^2=3^2+5^2+10^2+2×3×5+2×3×10+2×5×10=9+25+100+30+60+100=324

4)(2+9+25)^2=2^2+9^2+25^2+2×2×9+2×2×25+2×9×25=4+81+625+36+100+450=1296

5)(67+32+12)=67^2+32^2+12^2+2×67×32+2×67×12+2×32×12=4489+1024+144+4288+1608+768=12321

6)(13+6+2)^2=13^2+6^2+2^2+2×13×6+2×13×2+2×6×2=169+36+4+156+52+24=272

7)(44+22+11)^2=44^2+22^2+11^2+2×44×22+2×44×11+2×22×11=1936+484+121+1936+968+484=5929

8)(3+92+5)^2=3^2+92^2+5^2+2×3×92+2×3×5+2×92×5=9+8464+25+552+30+920=9996

9)(8+2+7)^2=8^2+2^2+7^2+2×8×2+2×8×7+2×2×7=64+4+49+32+112+28=289

10)(156+67+81)^2=156^2+67^2+81^2+2×156×67+2×156×81+2×67×81=24336+4489+6561+20904+25272+10854=92416


danm1246: Multumesc!
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