en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3+i)(1-4i)

Solution

simplify

(3 + i) (1 - 4 i)

Solution

7 - 11 i

Solution steps

(3 + i) (1 - 4 i)

Apply complex arithmetic rule:

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

= (3 \cdot 1 - 1 \cdot (- 4)) + (3 (- 4) + 1 \cdot 1) i

Simplify

(3 \cdot 1 - 1 \cdot (- 4)) + (3 (- 4) + 1 \cdot 1) i : 7 - 11 i

= 7 - 11 i

Popular Examples

simplify (x^{-1}+y^{-1})^2 simplify

(x^{- 1} + y^{- 1})^{2}

simplify 8+sqrt(-25)simplify

8 + - 25

simplify-4(3x+2)simplify

- 4 (3 x + 2)

simplify i^{2344}simplify

i^{2344}

simplify x+y^0 simplify

x + y^{0}

Frequently Asked Questions (FAQ)

What is (3+i)(1-4i) ?
The solution to (3+i)(1-4i) is 7-11i