Please answer this from complex number. Question 19.

Please answer this from complex number. Question 19. 18. then A — 3z3 + 3z2 + 99z — 95 is equal to Ifz= x- iy and zl/3 The value of 1-9999 is = p + iq, then p2+q 2 is equal to, where x, y, p, q e R

Dear Student, 
We have

z=x-ιyz13=p+ιq(x-ιy)13=p+ιqx-ιy=(p+ιq)3              =p3-ιq3+3p2qi-3pq2              =(p3-3pq2)+ι(3p2q-q3)x=p3-3pq2 , y=-(3p2q-q3)xp=p2-3q2 , yq=q2-3p2xp+yq=p2-3q2+q2-3p2             =-2p2-2q2             =-2(p2+q2)xp+yqp2+q2=-2
Regards

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