en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-2+5i)^3

Solution

simplify

(- 2 + 5 i)^{3}

Solution

142 - 65 i

Solution steps

(- 2 + 5 i)^{3}

Apply Perfect Cube Formula:

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

(- 2 + 5 i)^{3} = (- 2)^{3} + 3 (- 2)^{2} \cdot 5 i + 3 (- 2) (5 i)^{2} + (5 i)^{3}

= (- 2)^{3} + 3 (- 2)^{2} \cdot 5 i + 3 (- 2) (5 i)^{2} + (5 i)^{3}

Simplify

(- 2)^{3} + 3 (- 2)^{2} \cdot 5 i + 3 (- 2) (5 i)^{2} + (5 i)^{3} : - 65 i + 142

= - 65 i + 142

Rewrite in standard complex form:

142 - 65 i

= 142 - 65 i

Popular Examples

expand (s^2+2t)^3 expand

(s^{2} + 2 t)^{3}

expand (2x+3)(3x+5)expand

(2 x + 3) (3 x + 5)

simplify 9/36 simplify

\frac{9}{36}

simplify (11)/(1-i)simplify

\frac{11}{1 - i}

simplify 1x+5x simplify

1 x + 5 x

Frequently Asked Questions (FAQ)

What is (-2+5i)^3 ?
The solution to (-2+5i)^3 is 142-65i