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Binomul lui Newton . Formula lui Newton . Observatii binomul lui Newton

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In acest subcapitol al combinatoricii definim si prezentam binomul lui Newton .
Aceasta sectiune contine :
Formula binomul lui Newton : ... .
Observatii privind binomul lui Newton :
   1. - termeni ai dezvoltarii prin aplicarea formulei lui Newton : ... ;
       - numarul termenilor dezvoltarii unui binom la puterea n prin formula lui Newton este : ... .
   2. coeficienti binomiali si numarul lor : ... .
   3. suma exponentilor puterilor lui a si b ai oricarui termen al dezvoltarii este egala ... .
   4. coeficientii binomiali ai termenilor egali departati de extremi din dezvoltare sunt ... .
   5. daca exponentul puterii binomului este par atunci ... .
   6. daca exponentul puterii binomului este impar atunci ... .
   7. formula termenului general de rang k+1 este ... .
   8. relatia de recurenta intre termenii succesivi ai dezvoltarii binomului este ... .
   9. utilizand permutarile cu repetitie se poate da formula binomului lui Newton generalizata ... .