simplify (5-2i)^2

Solution

simplify

(5 - 2 i)^{2}

21 - 20 i

Solution steps

(5 - 2 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

5^{2} - 2 \cdot 5 \cdot 2 i + (2 i)^{2} : - 20 i + 21

= - 20 i + 21

Rewrite in standard complex form:

21 - 20 i

= 21 - 20 i

\frac{x}{2 x - 1} > 5

\frac{2 ^{- 0.0001} - 1}{- 0.0001}

(1)^{2}

(y^{\frac{3}{4}})^{\frac{1}{3}}

18 \cdot 50