en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3-4i)(2+6i)

Solution

simplify

(3 - 4 i) (2 + 6 i)

Solution

30 + 10 i

Solution steps

(3 - 4 i) (2 + 6 i)

Apply complex arithmetic rule:

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

= (3 \cdot 2 - (- 4) \cdot 6) + (3 \cdot 6 - 4 \cdot 2) i

Simplify

(3 \cdot 2 - (- 4) \cdot 6) + (3 \cdot 6 - 4 \cdot 2) i : 30 + 10 i

= 30 + 10 i

Popular Examples

simplify-4^7 simplify

- 4^{7}

simplify 5/3-1/4 simplify

\frac{5}{3} - \frac{1}{4}

simplify-9\times 2 simplify

- 9 \times 2

simplify-sqrt(2)\times sqrt(2)simplify

- 2 \times 2

expand (x+2)\times (x-2)expand

(x + 2) \times (x - 2)

Frequently Asked Questions (FAQ)

What is (3-4i)(2+6i) ?
The solution to (3-4i)(2+6i) is 30+10i