Simplify each of the following. Make sure to write your answers as complex numbers.

Question

a) (7+3𝑖)+(4−7𝑖)

b) (−3+6𝑖)−(10−5𝑖)

Answer 1

a) (7+3𝑖)+(4−7𝑖) Combine like terms (7+4)+(3𝑖−7𝑖) = 11−4𝑖

b) (−3+6𝑖)−(10−5𝑖) Change to addition

(−3+6𝑖)+(-10+5𝑖) Then combine like terms (-3+-10)+(6𝑖+5𝑖) = -13+11𝑖

Answer 2

(7+3i)+(4-7i) = 11 -4i

(-3+6i) - (10 -5i) = -13 +11i