## Simplifying (3x - 5)^2

This article will guide you through simplifying the expression (3x - 5)^2.

### Understanding the Expression

The expression (3x - 5)^2 represents the square of the binomial (3x - 5). This means we are multiplying the binomial by itself:

(3x - 5)^2 = (3x - 5)(3x - 5)

### Using the FOIL Method

To simplify this expression, we can use the **FOIL** method:

**F**irst: Multiply the first terms of each binomial: (3x)(3x) = 9x^2**O**uter: Multiply the outer terms of the binomials: (3x)(-5) = -15x**I**nner: Multiply the inner terms of the binomials: (-5)(3x) = -15x**L**ast: Multiply the last terms of each binomial: (-5)(-5) = 25

### Combining Like Terms

Now, we add all the terms together:

9x^2 - 15x - 15x + 25

Combining the like terms (-15x and -15x):

**9x^2 - 30x + 25**

### Final Answer

Therefore, the simplified form of (3x - 5)^2 is **9x^2 - 30x + 25**.

### Important Note:

Remember that squaring a binomial is not the same as simply squaring each term individually. It's essential to use the FOIL method or other algebraic techniques to expand the expression correctly.