simplify (2-yi)^2

Solution

simplify

(2 - y i)^{2}

(4 - y^{2}) - 4 y i

Solution steps

(2 - y i)^{2}

Apply Perfect Square Formula:

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

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

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

2^{2} = 4

- 2 \cdot 2 y i = - 4 y i

(y i)^{2} = - y^{2}

= 4 - 4 y i - y^{2}

Rewrite in standard complex form:

(4 - y^{2}) - 4 y i

= (4 - y^{2}) - 4 y i

(3 x - 2 i)^{2}

x^{\frac{2}{3}} (x - 5)

\frac{1}{2} (x - \frac{1}{2} sin (2 x))

\frac{e ^{- s}}{s ( s + 1 )}

(π - 14)^{2}