What is expand (a-bi)^2 ?

The solution to expand (a-bi)^2 is (a^2-b^2)-2abi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (a-bi)^2

expand

(a - bi)^{2}

(a^{2} - b^{2}) - 2 abi

Solution steps

(a - bi)^{2}

Apply Perfect Square Formula:

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

(a - bi)^{2} = a^{2} - 2 abi + (bi)^{2}

= a^{2} - 2 abi + (bi)^{2}

Simplify

(bi)^{2} : - b^{2}

= a^{2} - 2 abi - b^{2}

Rewrite in standard complex form:

(a^{2} - b^{2}) - 2 abi

= (a^{2} - b^{2}) - 2 abi

lo g_{10} (x^{5} y^{- 4})

(1 - cos^{2} (x))^{2}

\frac{x ( 2 x ^{2} - 5 )}{2 y ( y ^{2} - 2 )}

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

\frac{1}{( x + 7 ) ^{2}}