en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

25 + 19 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(2 \cdot 5 - 5 (- 3)) + (2 (- 3) + 5 \cdot 5) i : 25 + 19 i

= 25 + 19 i

Popular Examples

simplify (2/3)^{10}simplify

(\frac{2}{3})^{10}

factor x^2-8x-33 factor

x^{2} - 8 x - 33

factor \sqrt[3]{216}factor

factor 16uv^2y^6+28u^4v^9 factor

16 u v^{2} y^{6} + 28 u^{4} v^{9}

x^{2} + 8 x = 48

Frequently Asked Questions (FAQ)

What is (2+5i)(5-3i) ?
The solution to (2+5i)(5-3i) is 25+19i