Adding Complex Numbers: (7+10i)−(−2+3i)
This article will guide you through the process of adding complex numbers, specifically focusing on the problem: (7+10i)−(−2+3i).
Understanding Complex Numbers
Complex numbers are numbers that consist of two parts: a real part and an imaginary part. They are written in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, where i² = 1.
Adding Complex Numbers
Adding complex numbers is straightforward. You simply add the real parts together and add the imaginary parts together.
Solving the Problem
Let's break down the problem: (7+10i)−(−2+3i)

Distribute the negative sign: This changes the problem to: 7 + 10i + 2  3i

Combine the real terms: 7 + 2 = 9

Combine the imaginary terms: 10i  3i = 7i

Combine the results: 9 + 7i
Solution
Therefore, (7+10i)−(−2+3i) = 9 + 7i.