What is (-6+sqrt(-9))^2 ?

The solution to (-6+sqrt(-9))^2 is 27-36i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-6+sqrt(-9))^2

simplify

(- 6 + - 9)^{2}

27 - 36 i

Solution steps

(- 6 + - 9)^{2}

Apply Perfect Square Formula:

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

(- 6 + - 9)^{2} = (- 6)^{2} + 2 (- 6) - 9 + (- 9)^{2}

= (- 6)^{2} + 2 (- 6) - 9 + (- 9)^{2}

(- 6)^{2} + 2 (- 6) - 9 + (- 9)^{2} = - 36 i + 27

= - 36 i + 27

Rewrite in standard complex form:

27 - 36 i

= 27 - 36 i

(- 7) + 9

\frac{x ^{3}}{x ^{- 4}}

\frac{13}{3} - \frac{4}{3}

\frac{1}{2} - \frac{3}{16}

\frac{x ^{- 5}}{x ^{- 3}}