## Expanding (8 + 3i)² in Standard Form

In mathematics, a complex number is a number that can be expressed in the form **a + bi**, where **a** and **b** are real numbers, and **i** is the imaginary unit, satisfying the equation **i² = -1**.

To express (8 + 3i)² in standard form, we will expand the expression using the FOIL method (First, Outer, Inner, Last) and simplify.

### Expanding the Expression

**(8 + 3i)² = (8 + 3i)(8 + 3i)****First:**8 * 8 = 64**Outer:**8 * 3i = 24i**Inner:**3i * 8 = 24i**Last:**3i * 3i = 9i²

Combining the terms, we get:

**64 + 24i + 24i + 9i²**

### Simplifying the Expression

We know that **i² = -1**. Substituting this into our expression:

**64 + 24i + 24i + 9(-1)**

Simplifying further:

**64 + 24i + 24i - 9**

Combining like terms:

**55 + 48i**

### Final Answer

Therefore, (8 + 3i)² expressed in standard form is **55 + 48i**.