Let = \( z_1=x_1+iy_1\) and \( z_2=x_1+iy_2\)
\( z_1z_2=(x_1+iy_1)(x_2+iy_2)\)
\( x_1(x_2+iy_2)+iy_1(x_2+iy_2)\)
\( x_1x_2+ix_1iy_2+iy_1x_2+i^2y_1y_2\)
\( x_1x_2+ix_1y_2+iy_1x_2-y_1y_2\)
\( (x_1x_2-y_1y_2)+i(x_1y_2+y_1x_2)\)
\( Re(z_1z_2)=x_1x_2-y_1y_2\)
\( Re(z_1z_2)= Rez_1 Rez_2-Imz_1 Imz_2\)
Hence, proved
Answered by Abhisek | 1 year agoShow that 1 + i10 + i20 + i30 is a real number?
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