en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2-3i)(1+4i)

Solution

simplify

(2 - 3 i) (1 + 4 i)

Solution

14 + 5 i

Solution steps

(2 - 3 i) (1 + 4 i)

Apply complex arithmetic rule:

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

= (2 \cdot 1 - (- 3) \cdot 4) + (2 \cdot 4 - 3 \cdot 1) i

Simplify

(2 \cdot 1 - (- 3) \cdot 4) + (2 \cdot 4 - 3 \cdot 1) i : 14 + 5 i

= 14 + 5 i

Popular Examples

\frac{46}{3}

simplify 30*3 simplify

30 \cdot 3

simplify (x+1)2+x(x+2)(x+2)2+x^2 simplify

(x + 1) 2 + x (x + 2) (x + 2) 2 + x^{2}

simplify 0.1sqrt(20000)simplify

0.1 20000

simplify 10^{log_{10}(9)}simplify

1 0^{l o g_{10} (9)}

Frequently Asked Questions (FAQ)

What is (2-3i)(1+4i) ?
The solution to (2-3i)(1+4i) is 14+5i