Question

Simplify.
- (-5i + 2) - (9 + i)​

Answer 1

Answer: 4i - 11

Step-by-step explanation: Get rid of the parenthesis by multiplying everything inside the parenthesis by -1 because there is a negative sign. That gives you 5i - 2 - 9 - i. From there, you combine like terms, and the coefficients of i is 5 and -1. Combining like terms, 5i - i = 4i and -2 - 9 = -11. Therefore, the answer is 4i - 11.

Answer 2

The answer is:

-11 + 4i

Work/explanation:

First, let's distribute the minus sign :

`\sf{-(-5i+2)-(9+i)}`

`\sf{5i-2-9-i}`

Now just combine the like terms :

`\sf{5i-i-9-2}`

`\sf{4i-11}`

Now let's swap the terms so that the number matches the a + bi form:

`\sf{-11+4i}`

Therefore, the answer is -11 + 4i