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

The solution to expand (x-3)(x-(1+2i))(x-(1-2i)) is x^3-5x^2+11x-15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

x^{3} - 5 x^{2} + 11 x - 15

Solution steps

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

Expand

(x - 3) (x - (1 + 2 i)) (x - (1 - 2 i)) : (6 i + x^{2} - 4 x - 2 x i + 3) (x - (1 - 2 i))

= (6 i + x^{2} - 4 x - 2 x i + 3) (x - (1 - 2 i))

Distribute parentheses

= 6 i x + 6 i (- (1 - 2 i)) + x^{2} x + x^{2} (- (1 - 2 i)) - 4 xx - 4 x (- (1 - 2 i)) - 2 x i x - 2 x i (- (1 - 2 i)) + 3 x + 3 (- (1 - 2 i))

Simplify

6 i x + 6 i (- (1 - 2 i)) + x^{2} x + x^{2} (- (1 - 2 i)) - 4 xx - 4 x (- (1 - 2 i)) - 2 x i x - 2 x i (- (1 - 2 i)) + 3 x + 3 (- (1 - 2 i)) : x^{3} - 5 x^{2} + 11 x - 15

= x^{3} - 5 x^{2} + 11 x - 15

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

(2 y^{2} + 1 + 2 x) d x + 2 y d y

19683 (\frac{a ^{3} - 243 ab}{729} + c)

\frac{1}{x ( x + 4 )}

3 (7 - 1)

What is expand (x-3)(x-(1+2i))(x-(1-2i)) ?
The solution to expand (x-3)(x-(1+2i))(x-(1-2i)) is x^3-5x^2+11x-15