en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (11+i)(4-4i)

Solution

simplify

(11 + i) (4 - 4 i)

Solution

48 - 40 i

Solution steps

(11 + i) (4 - 4 i)

Apply complex arithmetic rule:

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

= (11 \cdot 4 - 1 \cdot (- 4)) + (11 (- 4) + 1 \cdot 4) i

Simplify

(11 \cdot 4 - 1 \cdot (- 4)) + (11 (- 4) + 1 \cdot 4) i : 48 - 40 i

= 48 - 40 i

Popular Examples

simplify-1+(-4)simplify

- 1 + (- 4)

simplify 1/x+x simplify

\frac{1}{x} + x

simplify (4x^2)/x simplify

\frac{4 x ^{2}}{x}

simplify-2(3)simplify

- 2 (3)

simplify (-3+7i)/(-3-3i)simplify

\frac{- 3 + 7 i}{- 3 - 3 i}

Frequently Asked Questions (FAQ)

What is (11+i)(4-4i) ?
The solution to (11+i)(4-4i) is 48-40i