en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3-2i)*(-2+7i)

Solution

simplify

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

Solution

8 + 25 i

Solution steps

(3 - 2 i) (- 2 + 7 i)

Apply complex arithmetic rule:

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

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

Simplify

(3 (- 2) - (- 2) \cdot 7) + (3 \cdot 7 - 2 (- 2)) i : 8 + 25 i

= 8 + 25 i

Popular Examples

factor 4x^2-12x-7 factor

4 x^{2} - 12 x - 7

factor 6x^2-29x+9 factor

6 x^{2} - 29 x + 9

0 = x^{2} - 1

simplify ((2xy^4)/z)^3 simplify

(\frac{2 x y ^{4}}{z})^{3}

simplify (4a^2-3a)/a simplify

\frac{4 a ^{2} - 3 a}{a}

Frequently Asked Questions (FAQ)

What is (3-2i)*(-2+7i) ?
The solution to (3-2i)*(-2+7i) is 8+25i