simplify (2i-3)^2

Solution

simplify

(2 i - 3)^{2}

5 - 12 i

Solution steps

(2 i - 3)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(2 i)^{2} - 2 \cdot 2 i 3 + 3^{2} : - 12 i + 5

= - 12 i + 5

Rewrite in standard complex form:

5 - 12 i

= 5 - 12 i

lo g_{2} (\frac{64000}{32000})

(x - 1) - (2 x^{2} + x - 3)

(- 10)^{- 2}

5 \frac{2}{3} + 7 \frac{2}{3}

7 (2 x - 4) - (10 - 3 x)