Question

Which expression is equivalent to (2−7i)−(−3−2i)?

a) −1−9i
b) −1−5i
c) 5−9i
d) 5−5i

Answer 1

To simplify the expression (2−7i)−(−3−2i), distribute the negative sign to both terms inside the parentheses, combine the real and imaginary parts, and simplify to get 5-5i.

Step-by-step explanation:

To simplify the expression (2−7i)−(−3−2i), we distribute the negative sign to both terms inside the parentheses. This gives us 2−7i+3+2i.

Next, we combine like terms by adding the real parts (2+3) and the imaginary parts (-7i+2i). 2+3=5 and -7i+2i=-5i.

Therefore, the simplified expression is 5-5i, which corresponds to option d.