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+2i)

Solution

simplify

\frac{2 - 3 i}{3 + 2 i}

Solution

- i

Solution steps

\frac{2 - 3 i}{3 + 2 i}

Multiply by the conjugate

\frac{3 - 2 i}{3 - 2 i}

= \frac{( 2 - 3 i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )}

Simplify

\frac{( 2 - 3 i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )} : \frac{- 13 i}{13}

= \frac{- 13 i}{13}

Cancel the common factor:

13

= - i

Popular Examples

simplify 2(a+b)simplify

2 (a + b)

simplify i^{246}simplify

i^{246}

simplify 3^2\times 3^2 simplify

3^{2} \times 3^{2}

simplify 1/(3x-2y)+(x-y)/(9x^2-4y^2)simplify

\frac{1}{3 x - 2 y} + \frac{x - y}{9 x ^{2} - 4 y ^{2}}

simplify (cos^2(θ))/(1-sin(θ))-1 simplify

\frac{cos ^{2} ( θ )}{1 - sin ( θ )} - 1

Frequently Asked Questions (FAQ)

What is (2-3i)/(3+2i) ?
The solution to (2-3i)/(3+2i) is -i