Question: Show that the product of two complex numbers (a + jb) and (c + jd) can be performed with three real multiplication and five additions

Show that the product of two complex numbers (a + jb) and (c + jd) can be performed with three real multiplication and five additions using the algorithm
xR = (a – b)d + (c – d)a
x1 = (a – b)d + (c + d)b
Where
x = xR + jx1 = (a + jb)(c + jd)

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