What is simplify-1/2 i^3(sqrt(-9)-4)-3i^2 ?

The solution to simplify-1/2 i^3(sqrt(-9)-4)-3i^2 is 3/2-2i

Popular >

simplify-1/2 i^3(sqrt(-9)-4)-3i^2

simplify

- \frac{1}{2} i^{3} (- 9 - 4) - 3 i^{2}

\frac{3}{2} - 2 i

Solution steps

- \frac{1}{2} i^{3} (- 9 - 4) - 3 i^{2}

- \frac{1}{2} i^{3} (- 9 - 4) = \frac{i ( 3 i - 4 )}{2}

3 i^{2} = - 3

= \frac{i ( 3 i - 4 )}{2} - (- 3)

Join

\frac{i ( 3 i - 4 )}{2} - (- 3) : \frac{3 - 4 i}{2}

= \frac{3 - 4 i}{2}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{3}{2} + \frac{- 4}{2} i

Divide the numbers:

\frac{- 4}{2} = - 2

= \frac{3}{2} - 2 i

2 \cdot (b^{2} - b + 7) - (b^{2} + b + 8)

- 2 [7 a - (- 7 a + 5 b - 1 + 6 (a - 8 b + 9)) - (4 b - 8)]

52 \cdot 96

(1 - cos^{2} (x))^{2}

\frac{1 + i}{1 - \frac{1 + i}{1 - \frac{1 - i}{1 + i}}}

What is simplify-1/2 i^3(sqrt(-9)-4)-3i^2 ?
The solution to simplify-1/2 i^3(sqrt(-9)-4)-3i^2 is 3/2-2i