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Algebra

posted by on .

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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