## Expanding and Simplifying the Expression (6x - 7)^2 - 15

This article explores the process of expanding and simplifying the algebraic expression **(6x - 7)^2 - 15**.

### Understanding the Expression

The expression involves several operations:

**Squaring:**The term**(6x - 7)^2**represents the square of the binomial (6x - 7).**Subtraction:**The term**- 15**is subtracted from the result of squaring the binomial.

### Expanding the Square

To expand **(6x - 7)^2**, we can use the following formula:

**(a - b)^2 = a^2 - 2ab + b^2**

Applying this to our expression:

**(6x - 7)^2 = (6x)^2 - 2(6x)(7) + (-7)^2**

Simplifying:

**(6x - 7)^2 = 36x^2 - 84x + 49**

### Combining Terms

Now, we combine the expanded square term with the constant term -15:

**(6x - 7)^2 - 15 = (36x^2 - 84x + 49) - 15**

Simplifying further:

**(6x - 7)^2 - 15 = 36x^2 - 84x + 34**

### Final Simplified Expression

Therefore, the simplified form of the expression **(6x - 7)^2 - 15** is **36x^2 - 84x + 34**.

This expression represents a quadratic equation, with a leading coefficient of 36, a linear coefficient of -84, and a constant term of 34.