What is factor (x-(3-2i))(x-(3+2i)) ?

The solution to factor (x-(3-2i))(x-(3+2i)) is x^2-6x+13

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factor (x-(3-2i))(x-(3+2i))

factor

(x - (3 - 2 i)) (x - (3 + 2 i))

x^{2} - 6 x + 13

Solution steps

(x - (3 - 2 i)) (x - (3 + 2 i))

Apply complex arithmetic rule:

(a + bi) (a - bi) = a^{2} + b^{2}

a = x - 3, b = 2

= (x - 3)^{2} + 2^{2}

Simplify

(x - 3)^{2} + 2^{2} : x^{2} - 6 x + 13

= x^{2} - 6 x + 13

4 - (a^{2} + b^{2}) + 2 ab

2 e - 2 b + 2 t

8 8^{3} - 3

70 x^{6} + 14 x^{13}

(x - 2)^{2} + 3

What is factor (x-(3-2i))(x-(3+2i)) ?
The solution to factor (x-(3-2i))(x-(3+2i)) is x^2-6x+13