en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (7+5i)(2+3i)

Solution

simplify

(7 + 5 i) (2 + 3 i)

Solution

- 1 + 31 i

Solution steps

(7 + 5 i) (2 + 3 i)

Apply complex arithmetic rule:

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

= (7 \cdot 2 - 5 \cdot 3) + (7 \cdot 3 + 5 \cdot 2) i

Simplify

(7 \cdot 2 - 5 \cdot 3) + (7 \cdot 3 + 5 \cdot 2) i : - 1 + 31 i

= - 1 + 31 i

Popular Examples

expand (-4x+y)(4x+y)expand

(- 4 x + y) (4 x + y)

- \frac{7}{8} \div \frac{28}{3}

simplify-20(8x+20)simplify

- 20 (8 x + 20)

simplify 17/85 simplify

\frac{17}{85}

simplify \sqrt[5]{-32x^{15}}simplify

Frequently Asked Questions (FAQ)

What is (7+5i)(2+3i) ?
The solution to (7+5i)(2+3i) is -1+31i