Simplify the expression 5/4 - (7/4+2i) and write the result in the form a+bi

Answer: - 1/2 - 2i

Step-by-step explanation:

Hi, to answer this question we have to simplify the expression:

First, we have to apple distributive property for the (-) sign. It's like having the number - 1 multiplied by the sum.

5/4 - (7/4+2i)

5/4 - 1 (7/4+2i)

5/4 (-1) 7/4 (-1) 2i

5/4 - 7/4 - 2i

Now we add both numbers (with no variable ⇒5/4 + (-7/4))

-1/2 - 2i or

(-1/2) + (-2) i

Feel free to ask for more if needed or if you did not understand something.