What is simplify-(3/2+5/2 i)+(5/3+11/3 i) ?

The solution to simplify-(3/2+5/2 i)+(5/3+11/3 i) is 1/6+7/6 i

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simplify-(3/2+5/2 i)+(5/3+11/3 i)

simplify

- (\frac{3}{2} + \frac{5}{2} i) + (\frac{5}{3} + \frac{11}{3} i)

\frac{1}{6} + \frac{7}{6} i

Solution steps

- (\frac{3}{2} + \frac{5}{2} i) + (\frac{5}{3} + \frac{11}{3} i)

Apply factoring rule:

- a - b = - (a + b)

- (\frac{3}{2} + \frac{5}{2} i) + \frac{5}{3} + \frac{11}{3} i = - (\frac{3}{2} + \frac{5}{2} i - (\frac{5}{3} + \frac{11}{3} i))

= - (\frac{3}{2} + \frac{5}{2} i - (\frac{5}{3} + \frac{11}{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}{2} - \frac{5}{3}) + (\frac{5}{2} - \frac{11}{3}) i)

Apply the distributive law:

- (a + b) = - a - b

- ((\frac{3}{2} - \frac{5}{3}) + (\frac{5}{2} - \frac{11}{3}) i) = - (\frac{3}{2} - \frac{5}{3}) - (\frac{5}{2} - \frac{11}{3}) i

= - (\frac{3}{2} - \frac{5}{3}) - (\frac{5}{2} - \frac{11}{3}) i

Simplify

- (\frac{3}{2} - \frac{5}{3}) - (\frac{5}{2} - \frac{11}{3}) i : \frac{1}{6} + \frac{7}{6} i

= \frac{1}{6} + \frac{7}{6} i

\frac{- 3 x - 3}{5} = 3 - 4 (x + 2)

0.2 x^{2} + 1.2 = 3.4

3 (x^{2} + 10 x + 25) - 4 (x + 5)

∣ 3 x + 7 ∣ \leq - 4 x

x^{2} + 9 x + 20 > 0

What is simplify-(3/2+5/2 i)+(5/3+11/3 i) ?
The solution to simplify-(3/2+5/2 i)+(5/3+11/3 i) is 1/6+7/6 i