What is expand (x+5+2i)(x+5-2i)(x+1-3i)(x+1+3i) ?

The solution to expand (x+5+2i)(x+5-2i)(x+1-3i)(x+1+3i) is x^4+12x^3+59x^2+158x+290

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expand (x+5+2i)(x+5-2i)(x+1-3i)(x+1+3i)

expand

(x + 5 + 2 i) (x + 5 - 2 i) (x + 1 - 3 i) (x + 1 + 3 i)

x^{4} + 12 x^{3} + 59 x^{2} + 158 x + 290

Solution steps

(x + 5 + 2 i) (x + 5 - 2 i) (x + 1 - 3 i) (x + 1 + 3 i)

Expand

(x + 5 + 2 i) (x + 5 - 2 i) : x^{2} + 10 x + 29

= (x^{2} + 10 x + 29) (x + 1 - 3 i) (x + 1 + 3 i)

Expand

(x^{2} + 10 x + 29) (x + 1 - 3 i) : - 87 i + x^{3} + 11 x^{2} - 3 x^{2} i + 39 x - 30 x i + 29

= (- 87 i + x^{3} + 11 x^{2} - 3 x^{2} i + 39 x - 30 x i + 29) (x + 1 + 3 i)

Distribute parentheses

= - 87 i x - 87 i 1 - 87 i 3 i + x^{3} x + x^{3} \cdot 1 + x^{3} \cdot 3 i + 11 x^{2} x + 11 x^{2} \cdot 1 + 11 x^{2} \cdot 3 i - 3 x^{2} i x - 3 x^{2} i 1 - 3 x^{2} i 3 i + 39 xx + 39 x \cdot 1 + 39 x \cdot 3 i - 30 x i x - 30 x i 1 - 30 x i 3 i + 29 x + 29 \cdot 1 + 29 \cdot 3 i

Simplify

- 87 i x - 87 i 1 - 87 i 3 i + x^{3} x + x^{3} \cdot 1 + x^{3} \cdot 3 i + 11 x^{2} x + 11 x^{2} \cdot 1 + 11 x^{2} \cdot 3 i - 3 x^{2} i x - 3 x^{2} i 1 - 3 x^{2} i 3 i + 39 xx + 39 x \cdot 1 + 39 x \cdot 3 i - 30 x i x - 30 x i 1 - 30 x i 3 i + 29 x + 29 \cdot 1 + 29 \cdot 3 i : x^{4} + 12 x^{3} + 59 x^{2} + 158 x + 290

= x^{4} + 12 x^{3} + 59 x^{2} + 158 x + 290

- \frac{4}{( 2 s + 1 ) ( s + 2 )}

(x^{3} - (\frac{3}{x}) + 5) (x^{2} + 4 x + 7)

\frac{( 3 - x ) d x}{x ^{3} + 4 x ^{2} + 3 x}

(2 a + b)^{2}

\frac{1}{( ( 1 - i ) - 2 ) ^{2}}

What is expand (x+5+2i)(x+5-2i)(x+1-3i)(x+1+3i) ?
The solution to expand (x+5+2i)(x+5-2i)(x+1-3i)(x+1+3i) is x^4+12x^3+59x^2+158x+290