simplify (a-bi)^2

Solution

simplify

(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

(1 - cos (x))^{3}

Ct an (π - x)

(a - b) (a + b)

\frac{( x + 3 ) ^{3}}{4 ( x - 1 ) ^{2}}

(x^{4} + 2) (x^{4} - 2)