en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

- 9 + 19 i

Solution steps

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

Simplify

(2 \cdot 3 - 3 \cdot 5) + (2 \cdot 5 + 3 \cdot 3) i : - 9 + 19 i

= - 9 + 19 i

Popular Examples

factor 8mn^5+16m^2n^5 factor

8 m n^{5} + 16 m^{2} n^{5}

simplify (5/2)/5 simplify

\frac{\frac{5}{2}}{5}

simplify |7-9|simplify

∣ 7 - 9 ∣

simplify-3\times (-x)simplify

- 3 \times (- x)

simplify-3\times 12 simplify

- 3 \times 12

Frequently Asked Questions (FAQ)

What is (2+3i)(3+5i) ?
The solution to (2+3i)(3+5i) is -9+19i