Question

calculati binomul lui newton
1) (1+radical din 4)^4
2) (2+radical din 2)^4
3) (1+radical din 5)^5 ajutatima va rog

Answer 1

Comb de4 luate cate 0=comb de 4 luate cate 4=1
Comb de 4 luuate catre 1=Combde 4 luate cate3=4
Comb de 4 luate cate 2=4*3/2=6
Coef binom miali
 1  4   6  4  1

(1+√4)^4=(1+2)^4=3^4=81
cu Newton:

 (1+2)^4=1*1^4+4*1³*2+6*1²*2²+4*1*2³+2^4=1+8+24+32+16=33+32+16=
=65+16=81
as simple as that!!
am adaugat si b)