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

-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.

a: 1/6, j: 1/4

step-by-step explanation: you are welcome