Final answer:
The phrase 'the difference of a number squared and six' is a mathematical expression represented by x² - 6, where x is the number being squared. This concept falls under Integer Powers and shows how an unknown number x can be operated on in an algebraic expression.
Step-by-step explanation:
The phrase 'the difference of a number squared and six' suggests we are dealing with a mathematical expression that describes taking a number, squaring it, and then subtracting six. Let's use x to represent the unknown number. Squaring the number is denoted as x², and the 'difference' implies subtraction, hence the expression becomes x² - 6.
Understanding the concept of integer powers is important here, as it involves raising a number to a certain power. For example, 4 raised to the third power (4³) means multiplying 4 by itself three times (4 x 4 x 4), as defined in Integer Powers. Squaring a number (raising it to the power of 2) means multiplying the number by itself once, as seen in x², which is x times x.
To illustrate this with numbers, if we take 10², it designates 10 squared, or 10 x 10, equaling 100. Applying this to our initial expression, if x were the number 10, our expression x² - 6 would equal 100 - 6, resulting in 94.