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

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

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

simplify

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

x^{2} - 6 x + 13

Solution steps

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

Rewrite

x - 3 - 2 i

in standard complex form:

(x - 3) - 2 i

Rewrite

x - 3 + 2 i

in standard complex form:

(x - 3) + 2 i

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

Apply complex arithmetic rule:

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

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

Simplify

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

= x^{2} - 6 x + 13

x^{2} + 2 x + 5 = 2 x + 14

- 16 t^{2} + 16 t + 32

y + x^{4} y^{3}

\frac{3}{4} - \frac{3}{8}

∣ 5 y - 2 ∣ + 5 > 0