Question

Add and simplify: (2 – 7i) + (14 + 2i)

Answer 1

Answer:
`16\text{ - 5i}`

Step-by-step explanation:

Given:

`(2-\text{ 7i\rparen + \lparen14 + 2i\rparen}`

To find:

To add and simplify

First, we need to remove the parenthesis:

`\begin{gathered} 2\text{ - 7i + \lparen14\rparen + \lparen+2i\rparen} \\ $$mu\text{ltiplication of same signs give positive sign}$$ \\ \\ 2\text{ - 7i + 14 + 2i} \\ \\ collect\text{ like terms:} \\ 2\text{ + 14 - 7i + 2i} \end{gathered}`
`\begin{gathered} 2\text{ + 14 = 16} \\ -7i\text{ + 2i = -5i} \\ \\ =\text{ 16 - 5i} \end{gathered}`