en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

2 + 26 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(4 \cdot 3 - 2 \cdot 5) + (4 \cdot 5 + 2 \cdot 3) i : 2 + 26 i

= 2 + 26 i

Popular Examples

simplify (80)/(2-6i)simplify

\frac{80}{2 - 6 i}

factor 40x+8 factor

40 x + 8

simplify (1+5i)+(7+2i)simplify

(1 + 5 i) + (7 + 2 i)

simplify 3/(2x)+2/(x-4)simplify

\frac{3}{2 x} + \frac{2}{x - 4}

simplify sqrt(12)\times sqrt(27)simplify

12 \times 27

Frequently Asked Questions (FAQ)

What is (4+2i)(3+5i) ?
The solution to (4+2i)(3+5i) is 2+26i