en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

2 + 26 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(5 (- 2) - (- 3) \cdot 4) + (5 \cdot 4 - 3 (- 2)) i : 2 + 26 i

= 2 + 26 i

Popular Examples

simplify (sec(θ)-1)(sec(θ)+1)simplify

(sec (θ) - 1) (sec (θ) + 1)

simplify (4sqrt(6))/(sqrt(30))simplify

\frac{4 6}{30}

simplify arctan(x/(sqrt(2)))simplify

arctan (\frac{x}{2})

simplify ln((2xe^b)^2)+e^{(b+ln(3x))}simplify

ln ((2 x e^{b})^{2}) + e^{(b + l n (3 x))}

simplify (1-cos(x))/(sin(x))simplify

\frac{1 - cos ( x )}{sin ( x )}

Frequently Asked Questions (FAQ)

What is (5-3i)(-2+4i) ?
The solution to (5-3i)(-2+4i) is 2+26i