simplify (3k-2i)^2

Solution

simplify

(3 k - 2 i)^{2}

(9 k^{2} - 4) - 12 ki

Solution steps

(3 k - 2 i)^{2}

Apply Perfect Square Formula:

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

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

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

(3 k)^{2} = 9 k^{2}

- 2 \cdot 3 k \cdot 2 i = - 12 ki

(2 i)^{2} = - 4

= 9 k^{2} - 12 ki - 4

Rewrite in standard complex form:

(9 k^{2} - 4) - 12 ki

= (9 k^{2} - 4) - 12 ki

(x - y)^{2}

(x + y) (x - y)

(x - 3) (x + 3)

(z - i)^{2}

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