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The value of (z + 3) (z̅ + 3) is equivalent to

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The value of (z + 3) (z̅ + 3) is equivalent to

A. |z + 3|3
B. |z – 3|
C. z2 + 3
D. None of these

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1 Answer

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Best answer

A. |z + 3|3

Given (z + 3) (z̅ + 3) = (x + iy + 3) (x –iy + 3)

= (x + 3)2 – (iy)2

= (x + 3)2 + y2

= |x + 3 + iy|2

= |z + 3|2

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