en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2/3+2/3 i)^2

Solution

simplify

(\frac{2}{3} + \frac{2}{3} i)^{2}

Solution

\frac{8}{9} i

Solution steps

(\frac{2}{3} + \frac{2}{3} i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(\frac{2}{3})^{2} + 2 \cdot \frac{2}{3} \cdot \frac{2}{3} i + (\frac{2}{3} i)^{2} : \frac{8}{9} i

= \frac{8}{9} i

Popular Examples

simplify ((2a^2)/(b^3))^3 simplify

(\frac{2 a ^{2}}{b ^{3}})^{3}

simplify ((-35x^2y+14x^5y^6))/((7xy^2))simplify

\frac{( - 35 x ^{2} y + 14 x ^{5} y ^{6} )}{( 7 x y ^{2} )}

factor 6x^3-7x^2-29x-12 factor

6 x^{3} - 7 x^{2} - 29 x - 12

((x^3+y^3))/((x-y))

\frac{( x ^{3} + y ^{3} )}{( x - y )}

- 3 \frac{1}{2}

Frequently Asked Questions (FAQ)

What is (2/3+2/3 i)^2 ?
The solution to (2/3+2/3 i)^2 is 8/9 i