Question

Anyone, can you Please help with this question? Find the product of (−6 −3i) and its conjugate.

Answer 1

The product of the complex number (−6 −3i) and its conjugate is; 45.

What is the product of the complex number (−6 −3i) and its conjugate.?

It follows from the task content that the complex number in discuss can be multiplied with its Conjugate as follows;

(−6 −3i) (−6 +3i)

Hence it follows from the converse of the difference of two squares theorem that;

(−6 −3i) (−6 +3i) = (−6)² −(3i)²

= 36 - 9i²

= 36 -9(-1)

= 36+9

= 45.

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