Final answer:
To show that z + z = 2a and 2 - 3 = 2bi using the equation z = a + bi, substitute z into the expressions.
Step-by-step explanation:
To show that z + z = 2a and 2 - 3 = 2bi, we need to use the given equation z = a + bi.
Let's substitute this equation into the expressions:
- z + z = (a + bi) + (a + bi) = 2a + 2bi = 2(a + bi) = 2a
- 2 - 3 = 2(a + bi) = 2a - 2bi = 2bi
Therefore, we have shown that z + z = 2a and 2 - 3 = 2bi using the given equation.