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3. (10 pts) Design an algorithm how to multiply two complex numbers abi and c + di using only three multiplications of real n

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3. Algorithm to multiply two complex numbers a+bi and c+di using only three multiplications of real numbers.

Multiply-Complex-Number(a,b,c,d)
  
   1. Compute R1 = a*c = ac;
   2. Compute R2 = b*d = bd;
   3. Compute R3 = (a+b)*(c+d) = ac + ad + bc + bd
   4. Real Component = R1 - R2 = ac - bd
   5. Imaginary Component = R3 - R1 - R2
                       = (ac + ad + bc + bd) - ac - bd
                       = ad + bc
End                          

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