book Maths Puzzle Numerical Ability

Hello...

I am having some trouble with a proof. I am to use:

(a + bi)(a - bi)

The problem asks:

Show that for a + bi not equal to 0 this product is a positive real number.

Thanks for your help.

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book Other Question

yes I am trying to add and simplify the following:

(8 + 9i) + (7 - 8i)

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(-2 + 6i)2 power
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