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 \cdot 1 + x \cdot 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 \cdot 1 + x \cdot 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{6 x ^{2} + 21 x + 11}{( x ^{2} + 3 ) ( x + 5 )}

\frac{( - 1 + 3 x )}{( 2 - 3 x ) ^{2}}

f (3 - x) d x^{\frac{1}{2}}

\frac{1 - e ^{- 3 (s - 3)}}{s - 3} + \frac{e ^{- 3 s}}{s}

\frac{( e ^{- s} + s )}{s ( s - 6 ) ( s + 1 )}

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