simplify (3x+2ix)^2

Solution

simplify

(3 x + 2 i x)^{2}

5 x^{2} + 12 x^{2} i

Solution steps

(3 x + 2 i x)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 5 x^{2} + 12 x^{2} i

\frac{1}{( s - 1 ) ( s - 2 )}

3 (4 x^{3} cos (x) - x^{4} sin (x))

2 (\frac{2}{2} x + \frac{2}{2} y)^{2}

(x + 3 - 1) (x - 1 - 3)

\frac{2 s ^{2} + 10 s + 16}{( s + 2 ) ( s ^{2} + 6 s + 10 )}