What is (x-4+2i)(x-4-2i) ?

The solution to (x-4+2i)(x-4-2i) is x^2-8x+20

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simplify (x-4+2i)(x-4-2i)

simplify

(x - 4 + 2 i) (x - 4 - 2 i)

x^{2} - 8 x + 20

Solution steps

(x - 4 + 2 i) (x - 4 - 2 i)

Rewrite

x - 4 + 2 i

in standard complex form:

(x - 4) + 2 i

Rewrite

x - 4 - 2 i

in standard complex form:

(x - 4) - 2 i

= ((x - 4) + 2 i) ((x - 4) - 2 i)

Apply complex arithmetic rule:

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

= (x - 4)^{2} + 2^{2}

Simplify

(x - 4)^{2} + 2^{2} : x^{2} - 8 x + 20

= x^{2} - 8 x + 20

- - 400

e^{y l n (x)}

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

\frac{5}{4 x + 3} - \frac{- 4}{4 x + 3}

\frac{12}{64}