What is expand (x+iy)^2-3(x+iy) ?

The solution to expand (x+iy)^2-3(x+iy) is (x^2-y^2-3x)+(2xy-3y)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x+iy)^2-3(x+iy)

expand

(x + i y)^{2} - 3 (x + i y)

(x^{2} - y^{2} - 3 x) + (2 x y - 3 y) i

Solution steps

(x + i y)^{2} - 3 (x + i y)

Expand

(x + i y)^{2} : x^{2} + 2 x y i - y^{2}

= x^{2} + 2 x y i - y^{2} - 3 (x + i y)

Expand

- 3 (x + i y) : - 3 x - 3 y i

= x^{2} + 2 x y i - y^{2} - 3 x - 3 y i

Rewrite in standard complex form:

(x^{2} - y^{2} - 3 x) + (2 x y - 3 y) i

= (x^{2} - y^{2} - 3 x) + (2 x y - 3 y) i

(1 - sin (x))^{3}

a (1, - 3) y b (5, 6)

e^{t} (e^{t} + t e^{t})

\frac{2 x ^{2} + 9 x - 5}{( x - 1 ) ( x + 2 ) ( x - 3 )}

3 (6 - 3)

What is expand (x+iy)^2-3(x+iy) ?
The solution to expand (x+iy)^2-3(x+iy) is (x^2-y^2-3x)+(2xy-3y)i