simplify (2-3xi)^2

Solution

simplify

(2 - 3 x i)^{2}

(4 - 9 x^{2}) - 12 x i

Solution steps

(2 - 3 x i)^{2}

Apply Perfect Square Formula:

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

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

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

2^{2} = 4

- 2 \cdot 2 \cdot 3 x i = - 12 x i

(3 x i)^{2} = - 9 x^{2}

= 4 - 12 x i - 9 x^{2}

Rewrite in standard complex form:

(4 - 9 x^{2}) - 12 x i

= (4 - 9 x^{2}) - 12 x i

lo g_{7} (2) (x + 7) - lo g_{7} (x + 1)

\frac{k ( k + 1 ) ( k + 2 ) ( k + 3 )}{4}

(1 + tan (x)) tan (2 x)

(e + 3) (e - 5)