Simplify the expression. (3 i) - (2 - 2i)
a. 1 3i
b. 5 - i
c. 4i
d. -1 - 3i

Option a. 1 3i

Step-by-step explanation:

We have to simplify the expression ( 3 + i ) - ( 2 - 2i)

To solve this expression we will open the parenthesis first.

Since negative sign is given outside the parenthesis so negative sign will change all the signs inside the parenthesis when opened.

( 3 + i ) - ( 2 - 2i ) = 3 + i - 2 + 2i

Now we solve the like terms. If they are of same sign like terms will add and if they are of opposite sign they will get subtracted.

so, 3 + i - 2 + 2i = ( 3i + 1 )

Option a. 1 3i is the answer.

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6