en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3+4i)^3

Solution

simplify

(- 3 + 4 i)^{3}

Solution

117 + 44 i

Solution steps

(- 3 + 4 i)^{3}

Apply Perfect Cube Formula:

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

(- 3 + 4 i)^{3} = (- 3)^{3} + 3 (- 3)^{2} \cdot 4 i + 3 (- 3) (4 i)^{2} + (4 i)^{3}

= (- 3)^{3} + 3 (- 3)^{2} \cdot 4 i + 3 (- 3) (4 i)^{2} + (4 i)^{3}

Simplify

(- 3)^{3} + 3 (- 3)^{2} \cdot 4 i + 3 (- 3) (4 i)^{2} + (4 i)^{3} : 44 i + 117

= 44 i + 117

Rewrite in standard complex form:

117 + 44 i

= 117 + 44 i

Popular Examples

simplify sqrt(288)simplify

288

simplify 2\times 2/5 simplify

2 \times \frac{2}{5}

simplify-6\times (-6)simplify

- 6 \times (- 6)

simplify-7\times (-7)simplify

- 7 \times (- 7)

simplify log_{10}(20)simplify

lo g_{10} (20)

Frequently Asked Questions (FAQ)

What is (-3+4i)^3 ?
The solution to (-3+4i)^3 is 117+44i