What is (2*2-i)(2/5-2i) ?

The solution to (2*2-i)(2/5-2i) is -2/5-42/5 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2*2-i)(2/5-2i)

simplify

(2 \cdot 2 - i) (\frac{2}{5} - 2 i)

- \frac{2}{5} - \frac{42}{5} i

Solution steps

(2 \cdot 2 - i) (\frac{2}{5} - 2 i)

Apply complex arithmetic rule:

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

= (2 \cdot 2 \cdot \frac{2}{5} - (- 1) (- 2)) + (2 \cdot 2 (- 2) - 1 \cdot \frac{2}{5}) i

Simplify

(2 \cdot 2 \cdot \frac{2}{5} - (- 1) (- 2)) + (2 \cdot 2 (- 2) - 1 \cdot \frac{2}{5}) i : - \frac{2}{5} - \frac{42}{5} i

= - \frac{2}{5} - \frac{42}{5} i

- (- 8 h + 4.3 k + 5)

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

(6^{5})^{2}

- 2 \cdot \frac{1}{5}

\frac{68}{17}