en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3+2i)(4-5i)

Solution

simplify

(3 + 2 i) (4 - 5 i)

Solution

22 - 7 i

Solution steps

(3 + 2 i) (4 - 5 i)

Apply complex arithmetic rule:

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

= (3 \cdot 4 - 2 (- 5)) + (3 (- 5) + 2 \cdot 4) i

Simplify

(3 \cdot 4 - 2 (- 5)) + (3 (- 5) + 2 \cdot 4) i : 22 - 7 i

= 22 - 7 i

Popular Examples

simplify 3sqrt(5)+7sqrt(5)-10 simplify

35 + 75 - 10

simplify (3p^3q)^{3/4}simplify

(3 p^{3} q)^{\frac{3}{4}}

simplify-2/5+1/3 simplify

- \frac{2}{5} + \frac{1}{3}

simplify x/((2x^0)^3)simplify

\frac{x}{( 2 x ^{0} ) ^{3}}

expand 9p^3q^4(3p^3-5q)expand

9 p^{3} q^{4} (3 p^{3} - 5 q)

Frequently Asked Questions (FAQ)

What is (3+2i)(4-5i) ?
The solution to (3+2i)(4-5i) is 22-7i