simplify (3t+2ti)^2

Solution

simplify

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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

6 (8 - 5)

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

(4 + 5 i)^{4}

\frac{9}{10} \cdot e^{\frac{x}{2}} + \frac{4}{5} \cdot (- sin (x) + 2 cos (x))