What is x(x+iy)(-5+2i) ?

The solution to x(x+iy)(-5+2i) is x(-5x-2y)+x(2x-5y)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x(x+iy)(-5+2i)

simplify

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

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

Solution steps

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

Rewrite

x + i y

in standard complex form:

x + y i

= x (x + y i) (- 5 + 2 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= x ((x (- 5) - y \cdot 2) + (x \cdot 2 + y (- 5)) i)

Simplify

(x (- 5) - y \cdot 2) + (x \cdot 2 + y (- 5)) i : (- 5 x - y \cdot 2) + (x \cdot 2 - 5 y) i

= x ((- 5 x - y \cdot 2) + (x \cdot 2 - 5 y) i)

= x ((- 5 x - 2 y) + (2 x - 5 y) i)

Distribute parentheses

= x (- 5 x - 2 y) + x (2 x - 5 y) i

\frac{1}{s ( s ^{2} + 100 )}

(x^{2} - \frac{1}{4 x})^{12}

\frac{d ^{2} y}{d ^{2} x} (x^{3} + y^{3} = 1)

(6 + 2 cos (x))^{2}

(x + 4 - 3) (x + 4 + 3)