simplify (4y-5i)^2

Solution

simplify

(4 y - 5 i)^{2}

(16 y^{2} - 25) - 40 y i

Solution steps

(4 y - 5 i)^{2}

Apply Perfect Square Formula:

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

(4 y - 5 i)^{2} = (4 y)^{2} - 2 \cdot 4 y \cdot 5 i + (5 i)^{2}

= (4 y)^{2} - 2 \cdot 4 y \cdot 5 i + (5 i)^{2}

(4 y)^{2} = 16 y^{2}

- 2 \cdot 4 y \cdot 5 i = - 40 y i

(5 i)^{2} = - 25

= 16 y^{2} - 40 y i - 25

Rewrite in standard complex form:

(16 y^{2} - 25) - 40 y i

= (16 y^{2} - 25) - 40 y i

\frac{e ^{- 2 s}}{( s ^{2} + 9 ) ( s ^{2} + 1 )}

(k + \frac{1}{3}) \cdot (k - \frac{2}{3})

C (0, - 3) yD (- 1, 7)

\frac{3 ( 5 x + 2 ) + ( 15 x ^{2} )}{3 x + 1}