simplify (3-3i)^2

Solution

simplify

(3 - 3 i)^{2}

- 18 i

Solution steps

(3 - 3 i)^{2}

Apply Perfect Square Formula:

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

(3 - 3 i)^{2} = 3^{2} - 2 \cdot 3 \cdot 3 i + (3 i)^{2}

= 3^{2} - 2 \cdot 3 \cdot 3 i + (3 i)^{2}

Simplify

3^{2} - 2 \cdot 3 \cdot 3 i + (3 i)^{2} : - 18 i

= - 18 i

\frac{3 - 2}{3 + 2}

\frac{x ^{2} - 7 x + 12}{4 x - x ^{2}}

- 6 - (- 7)

\frac{8 d - 3}{9} + \frac{4 d + 12}{9}

\frac{8}{25} + \frac{12}{45}