Write the sum or difference in the standard form a + bi.
(3 + 3i) - (-6 + i)

Solution:

Given: Expression is (3 + 3i ) - (-6 + i)

We have to convert it in the standard form of representing a complex number: a + bi

Let us add the real parts together and the imaginary parts together.

⇒ (3 + 3i ) - (-6 + i)

⇒ 3 + 3i + 6 - i

Add the like terms. We get sum of the complex numbers.

⇒ (3 + 6) + (3i - i)

⇒ 9 + 2i

Write the sum or difference in the standard form a + bi.
(3 + 3i) - (-6 + i)

Summary:

The standard form of the given expression (3 + 3i) - (-6 + i) is 9 + 2i.