Manipal MET2012MathematicsComplex Number
A+i B form of ( x+i x)( y+i y) ( u+i)(1+i v) is
Options
- Au v[ (x+y-u-v)+i (x+y-u-v)]
- Bu v[ (x+y+u+v)+i (x+y+u+v)]
- Cu v[ (x+y+u+v)-i (x+y+u+v)
- DNone of the above
Correct answer
A. u v[ (x+y-u-v)+i (x+y-u-v)]
Step-by-step solution
LHS aligned & = ( x+i x)( y+i y) ( u+i u)( v+i v) u v & = u v e^ i x e^ i y e^ -i u e^ -i v & = u v[ (x+y-u-v) & +i (x+y-u-v)] aligned