simplify (5-2yi)^2

Solution

simplify

(5 - 2 y i)^{2}

(25 - 4 y^{2}) - 20 y i

Solution steps

(5 - 2 y i)^{2}

Apply Perfect Square Formula:

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

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

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

5^{2} = 25

- 2 \cdot 5 \cdot 2 y i = - 20 y i

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

= 25 - 20 y i - 4 y^{2}

Rewrite in standard complex form:

(25 - 4 y^{2}) - 20 y i

= (25 - 4 y^{2}) - 20 y i

\frac{2 δ x + δ}{x ( x + 1 ) ^{3}}

\frac{d}{d x} ((2 x - 8 c) (9 - x^{2})^{2}) - 2

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

\frac{d}{d x} ((f (x)) (2 x^{3} - 15 x^{2} + 24 x + 19))

(x + 2)^{3} - e^{3 x}