109 = 11^2 – 2

This is a variation of the famous formula for the difference of two squares, a^2 – b^2 = (a+b)(a-b). In this case, we have 109 = 11^2 – 2^2, which can be factored as (11+2)(11-2) = 13 x 9.

109 = 2^3 + 3^3 + 4^3

This formula expresses 109 as the sum of the cubes of the first three positive integers. This is an example of a cubic number, which is a number that can be expressed as the cube of an integer.

109 = 2 x 54 + 1

This formula expresses 109 as an odd number that is twice another number (54) plus one. This is a form of the famous formula for odd numbers, which states that any odd number can be expressed as 2n+1 for some integer n.

109 = (1 + 3 + 5 + 7 + 9) x 2

This formula expresses 109 as twice the sum of the first five odd numbers. This is an example of an arithmetic series, which is a series of numbers where each term is obtained by adding a fixed constant to the previous term.

109 = 5! – 4! – 3! – 2! – 1!

This formula expresses 109 as the difference between factorials of the first five positive integers. This is an example of a factorial number, which is a number that can be expressed as the product of all positive integers up to and including that number.

109 = 2^7 – 2^2 – 2^0

This formula expresses 109 as a power of 2 minus two smaller powers of 2. This is an example of a binary number, which is a number expressed in the base-2 numeral system.

109 = (2 x 5 x 11) – (2 x 3 x 7)

This formula expresses 109 as the difference between two products of three consecutive prime numbers. This is an example of the primorial, which is the product of the first n prime numbers.

109 = 100 + 9

This formula expresses 109 as the sum of a multiple of 10 and a single digit. This is a common way to write numbers in decimal notation.

109 = 11 x 10 – 1

This formula expresses 109 as the product of two consecutive digits, followed by a subtraction of 1. This is a form of the formula for the difference of two squares, a^2 – b^2 = (a+b)(a-b).

109 = 1^3 + 3^3 + 5^3 + 7^3

This formula expresses 109 as the sum of the cubes of the first four odd numbers. This is an example of a cubic number, which is a number that can be expressed as the cube of an integer.