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

The solution to expand (x-3)(x-2-5i)(x-2+5i) is x^3-7x^2+41x-87

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

expand

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

x^{3} - 7 x^{2} + 41 x - 87

Solution steps

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

Expand

(x - 3) (x - 2 - 5 i) : 15 i + x^{2} - 5 x - 5 x i + 6

= (15 i + x^{2} - 5 x - 5 x i + 6) (x - 2 + 5 i)

Distribute parentheses

= 15 i x + 15 i (- 2) + 15 i 5 i + x^{2} x + x^{2} (- 2) + x^{2} \cdot 5 i - 5 xx - 5 x (- 2) - 5 x \cdot 5 i - 5 x i x - 5 x i (- 2) - 5 x i 5 i + 6 x + 6 (- 2) + 6 \cdot 5 i

Simplify

15 i x + 15 i (- 2) + 15 i 5 i + x^{2} x + x^{2} (- 2) + x^{2} \cdot 5 i - 5 xx - 5 x (- 2) - 5 x \cdot 5 i - 5 x i x - 5 x i (- 2) - 5 x i 5 i + 6 x + 6 (- 2) + 6 \cdot 5 i : x^{3} - 7 x^{2} + 41 x - 87

= x^{3} - 7 x^{2} + 41 x - 87

\frac{sin ( z )}{( z ^{2} - 25 ) ( z ^{2} + 9 )}

\frac{c N ( k - N )}{k + a N}

(6 x - 24 y) (\frac{4}{5})

\frac{( a + b ) ^{2}}{a - b}

What is expand (x-3)(x-2-5i)(x-2+5i) ?
The solution to expand (x-3)(x-2-5i)(x-2+5i) is x^3-7x^2+41x-87