en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3+5i)(2-7i)

Solution

simplify

(3 + 5 i) (2 - 7 i)

Solution

41 - 11 i

Solution steps

(3 + 5 i) (2 - 7 i)

Apply complex arithmetic rule:

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

= (3 \cdot 2 - 5 (- 7)) + (3 (- 7) + 5 \cdot 2) i

Simplify

(3 \cdot 2 - 5 (- 7)) + (3 (- 7) + 5 \cdot 2) i : 41 - 11 i

= 41 - 11 i

Popular Examples

simplify 5^3*5^2 simplify

5^{3} \cdot 5^{2}

simplify (csc(θ))/(cot(θ))simplify

\frac{csc ( θ )}{cot ( θ )}

simplify (a^2-4a+4)/(a^2+ab-2a-2b)simplify

\frac{a ^{2} - 4 a + 4}{a ^{2} + ab - 2 a - 2 b}

simplify (sqrt(75))/(sqrt(12))simplify

\frac{75}{12}

expand (7a-5b)^2 expand

(7 a - 5 b)^{2}

Frequently Asked Questions (FAQ)

What is (3+5i)(2-7i) ?
The solution to (3+5i)(2-7i) is 41-11i