en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3-4i)(2+3i)

Solution

simplify

(3 - 4 i) (2 + 3 i)

Solution

18 + i

Solution steps

(3 - 4 i) (2 + 3 i)

Apply complex arithmetic rule:

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

= (3 \cdot 2 - (- 4) \cdot 3) + (3 \cdot 3 - 4 \cdot 2) i

Simplify

(3 \cdot 2 - (- 4) \cdot 3) + (3 \cdot 3 - 4 \cdot 2) i : 18 + i

= 18 + i

Popular Examples

factor 121x^2-22x+1 factor

121 x^{2} - 22 x + 1

- 2 x^{2} + 16 x + 1 = 0

5 ∣ x - 3 ∣ + 4 > 14

simplify 5(9.8)(60)-25(9.8)e^{-60/5}simplify

5 (9.8) (60) - 25 (9.8) e^{- \frac{60}{5}}

-20-13m-17m=18-11m

- 20 - 13 m - 17 m = 18 - 11 m

Frequently Asked Questions (FAQ)

What is (3-4i)(2+3i) ?
The solution to (3-4i)(2+3i) is 18+i