en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

- 14 + 22 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(2 \cdot 3 - 4 \cdot 5) + (2 \cdot 5 + 4 \cdot 3) i : - 14 + 22 i

= - 14 + 22 i

Popular Examples

simplify 2-(-12)simplify

2 - (- 12)

simplify x^{-1}(x^{-2}+x^{-3})simplify

x^{- 1} (x^{- 2} + x^{- 3})

simplify (12a^4b^6)/(36ab^2c)simplify

\frac{12 a ^{4} b ^{6}}{36 a b ^{2} c}

simplify-4sqrt(160)simplify

- 4160

simplify (4(u^5)^3)/(20u^{10)}simplify

\frac{4 ( u ^{5} ) ^{3}}{20 u ^{10}}

Frequently Asked Questions (FAQ)

What is (2+4i)(3+5i) ?
The solution to (2+4i)(3+5i) is -14+22i