# Algebra

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Multiply.
x-(6+2i)][x-(6-2i)]

Note that these expressions contain complex numbers.
Simplify your answer as much as possible.

• complex numbers -

Let a=6+2i, b=6-2i

(x-a)(x-b)
=x²-(a+b)x+ab

a+b = 12
ab=6²-(2i)²
=36-(-4)
=40

So
(x-a)(x-b)
=x²-12x+40

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