en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3+2i)(4-3i)

Solution

simplify

(3 + 2 i) (4 - 3 i)

Solution

18 - i

Solution steps

(3 + 2 i) (4 - 3 i)

Apply complex arithmetic rule:

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

= (3 \cdot 4 - 2 (- 3)) + (3 (- 3) + 2 \cdot 4) i

Simplify

(3 \cdot 4 - 2 (- 3)) + (3 (- 3) + 2 \cdot 4) i : 18 - i

= 18 - i

Popular Examples

simplify sqrt(-900)simplify

- 900

simplify 1+9/4 simplify

1 + \frac{9}{4}

simplify 1/(\frac{1){cos(x)}}simplify

\frac{1}{\frac{1}{c o s ( x )}}

simplify (3sqrt(5))/5 simplify

\frac{3 5}{5}

simplify 0-(-6)simplify

0 - (- 6)

Frequently Asked Questions (FAQ)

What is (3+2i)(4-3i) ?
The solution to (3+2i)(4-3i) is 18-i