What is simplify-3i+(3/4+2i)-(9/3+3i) ?

The solution to simplify-3i+(3/4+2i)-(9/3+3i) is -9/4-4i

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simplify-3i+(3/4+2i)-(9/3+3i)

simplify

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

- \frac{9}{4} - 4 i

Solution steps

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

Divide the numbers:

\frac{9}{3} = 3

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

Rewrite in standard complex form:

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

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

Group the real part and the imaginary part of the complex number

(a + bi) - (c + d i) = (a - c) + (b - d) i

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

Simplify

(\frac{3}{4} - 3) + ((- 3 + 2) - 3) i : - \frac{9}{4} - 4 i

= - \frac{9}{4} - 4 i

4 5^{\frac{- 3}{2}} \cdot 4 5^{2}

\frac{1}{\frac{1}{1 + \frac{1}{2}} + 1}

200 m^{4} + 80 m^{3} + 8 m^{2}

\frac{x ^{2}}{2} + \frac{5 x}{4} = 3

2^{2 n + 2} - 2^{2 n - 1}

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