If {z_1} and {z_2} are two complex numbers,th | vedclass

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(D) Let ${z_1} = a + ib$ and ${z_2} = c + id$,where $a, b, c, d \in \mathbb{R}$.Then ${z_1}{z_2} = (a + ib)(c + id) = (ac - bd) + i(ad + bc)$.The real

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None of these

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(D) Let ${z_1} = a + ib$ and ${z_2} = c + id$,where $a, b, c, d \in \mathbb{R}$.Then ${z_1}{z_2} = (a + ib)(c + id) = (ac - bd) + i(ad + bc)$.The real part of the product is $Re({z_1}{z_2}) = ac - bd$.Since $a = Re(z_1)$,$c = Re(z_2)$,$b = Im(z_1)$,and $d = Im(z_2)$,we have:$Re({z_1}{z_2}) = Re(z_1) \cdot Re(z_2) - Im(z_1) \cdot Im(z_2)$.Comparing this with the given options,none of the options $A, B,$ or $C$ match the correct expression.Therefore,the correct option is $D$.

If ${z_1}$ and ${z_2}$ are two complex numbers,then $Re({z_1}{z_2}) = $

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