en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3-i)(7+2i)

Solution

simplify

(3 - i) (7 + 2 i)

Solution

23 - i

Solution steps

(3 - i) (7 + 2 i)

Apply complex arithmetic rule:

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

= (3 \cdot 7 - (- 1) \cdot 2) + (3 \cdot 2 - 1 \cdot 7) i

Simplify

(3 \cdot 7 - (- 1) \cdot 2) + (3 \cdot 2 - 1 \cdot 7) i : 23 - i

= 23 - i

Popular Examples

simplify log_{16}(\sqrt[4]{16})simplify

simplify 9/(x^2-8x-9)-2/(x^2-81)simplify

\frac{9}{x ^{2} - 8 x - 9} - \frac{2}{x ^{2} - 81}

simplify (6^{-2})^{-1}simplify

(6^{- 2})^{- 1}

simplify sqrt(121/9)simplify

\frac{121}{9}

simplify sqrt(3y)sqrt(27y^3)simplify

3 y 27 y^{3}

Frequently Asked Questions (FAQ)

What is (3-i)(7+2i) ?
The solution to (3-i)(7+2i) is 23-i