Răspuns:
Aplici binomul lui Newton si tii cont ca;
i=i
i²=1
i³=-1
i⁴=1
i⁵=i
i⁶=i²=-1
(1-i)⁶=1⁶-C₆¹*1⁵*i+C₆²1⁴*i²-C₆³1³*i³+C₆²1²*i⁴-C₆⁵*1*i⁵+i⁶=
1-6!/1!*5!*1*(-i)+6!/2!/(4-2)*1*(-1)-6!/3!*3!*1*(-i)+6!/2!(6-2)!*1*1-6!/1!*5!*(-1)+(-1)=
1-6(-i)+5*6/2*(-1)-4*5*6/1*2*3*(-i)+6!/2*4!*1-6*(-1)-1=
6i-15+20i+5*6/2+6=
26i-9+15=
6-26i
Explicație pas cu pas:
