en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2sqrt(3)-2i)^3

Solution

simplify

(23 - 2 i)^{3}

Solution

- 64 i

Solution steps

(23 - 2 i)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(23 - 2 i)^{3} = (23)^{3} - 3 (23)^{2} \cdot 2 i + 3 \cdot 23 (2 i)^{2} - (2 i)^{3}

= (23)^{3} - 3 (23)^{2} \cdot 2 i + 3 \cdot 23 (2 i)^{2} - (2 i)^{3}

Simplify

(23)^{3} - 3 (23)^{2} \cdot 2 i + 3 \cdot 23 (2 i)^{2} - (2 i)^{3} : - 64 i

= - 64 i

Popular Examples

simplify-0.4^2 simplify

- 0. 4^{2}

simplify 16^{-5/2}simplify

1 6^{- \frac{5}{2}}

simplify cos(θ)(tan(θ)+cot(θ))simplify

cos (θ) (tan (θ) + cot (θ))

simplify (2/3)/(-1/5+1/2-(-1/4))simplify

\frac{\frac{2}{3}}{- \frac{1}{5} + \frac{1}{2} - ( - \frac{1}{4} )}

simplify (5^2*6+42)/(sqrt(49-65))simplify

\frac{5 ^{2} \cdot 6 + 42}{49 - 65}

Frequently Asked Questions (FAQ)

What is (2sqrt(3)-2i)^3 ?
The solution to (2sqrt(3)-2i)^3 is -64i