en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

(- 1 - 3 i) (- 1 + i)

Solution

4 + 2 i

Solution steps

(- 1 - 3 i) (- 1 + i)

Apply complex arithmetic rule:

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

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

Simplify

(- 1 \cdot (- 1) - (- 3) \cdot 1) + (- 1 \cdot 1 - 3 (- 1)) i : 4 + 2 i

= 4 + 2 i

Popular Examples

expand-3(x+5)^2 expand

- 3 (x + 5)^{2}

simplify 3sqrt(3)+8sqrt(2)-4sqrt(3)+11sqrt(2)simplify

33 + 82 - 43 + 112

simplify sqrt(-59)simplify

- 59

expand (3-x)^6 expand

(3 - x)^{6}

simplify-3/4-5/6 simplify

- \frac{3}{4} - \frac{5}{6}

Frequently Asked Questions (FAQ)

What is (-1-3i)(-1+i) ?
The solution to (-1-3i)(-1+i) is 4+2i