en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

(2 + 3 i) (1 - i)

Solution

5 + i

Solution steps

(2 + 3 i) (1 - i)

Apply complex arithmetic rule:

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

= (2 \cdot 1 - 3 (- 1)) + (2 (- 1) + 3 \cdot 1) i

Simplify

(2 \cdot 1 - 3 (- 1)) + (2 (- 1) + 3 \cdot 1) i : 5 + i

= 5 + i

Popular Examples

simplify (1/a-1/b)/(1/a+1/b)simplify

\frac{\frac{1}{a} - \frac{1}{b}}{\frac{1}{a} + \frac{1}{b}}

simplify 4/3+7 simplify

\frac{4}{3} + 7

simplify (5n-2)3n-(5n-2)(n-1)simplify

(5 n - 2) 3 n - (5 n - 2) (n - 1)

(|3x-1|)/(x+2)>-1

\frac{∣ 3 x - 1 ∣}{x + 2} > - 1

simplify 8-3 simplify

8 - 3

Frequently Asked Questions (FAQ)

What is (2+3i)(1-i) ?
The solution to (2+3i)(1-i) is 5+i