What is expand (x-1+2i)(x-1-2i) ?

The solution to expand (x-1+2i)(x-1-2i) is x^2-2x+5

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expand (x-1+2i)(x-1-2i)

expand

(x - 1 + 2 i) (x - 1 - 2 i)

x^{2} - 2 x + 5

Solution steps

(x - 1 + 2 i) (x - 1 - 2 i)

Distribute parentheses

= xx + x (- 1) + x (- 2 i) - 1 \cdot x - 1 \cdot (- 1) - 1 \cdot (- 2 i) + 2 i x + 2 i (- 1) + 2 i (- 2 i)

Simplify

xx + x (- 1) + x (- 2 i) - 1 \cdot x - 1 \cdot (- 1) - 1 \cdot (- 2 i) + 2 i x + 2 i (- 1) + 2 i (- 2 i) : x^{2} - 2 x + 5

= x^{2} - 2 x + 5

\frac{n ( n + 1 ) ( 2 n + 1 )}{2}

(tan (x) - sec (x))^{2}

\frac{1}{s ( s ^{2} + 9 )}

(3 + 2 x i)^{2}

\frac{2 x ^{3} - 6 x ^{2}}{( x - 2 ) ^{2}}

What is expand (x-1+2i)(x-1-2i) ?
The solution to expand (x-1+2i)(x-1-2i) is x^2-2x+5