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-i)

Solution

simplify

(3 + i) (- 1 - i)

Solution

- 2 - 4 i

Solution steps

(3 + i) (- 1 - i)

Apply complex arithmetic rule:

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

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

Simplify

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

= - 2 - 4 i

Popular Examples

simplify-12+(-9)simplify

- 12 + (- 9)

simplify (θ+wi)^3 simplify

(θ + w i)^{3}

simplify ((-2))/2 simplify

\frac{( - 2 )}{2}

expand (u+2)(u+5)expand

(u + 2) (u + 5)

simplify-7x^5y^3(-5x^4y^4)simplify

- 7 x^{5} y^{3} (- 5 x^{4} y^{4})

Frequently Asked Questions (FAQ)

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