Difference of Two Squares The difference of two squares can be understood as the result of taking the square of one number and subtracting the square of ano...
Difference of Two Squares
The difference of two squares can be understood as the result of taking the square of one number and subtracting the square of another number. This concept is explored in the study of factorisation, where a number can be decomposed into its factors through the process of identifying its unique factors and grouping them into pairs.
For instance, consider the difference of 9 and 16:
(9)^2 - (16)^2 = 81 - 256 = -165
The negative sign indicates that the difference is negative, meaning that 9 is greater than 16.
The same principle applies to any two numbers, regardless of their individual values. By manipulating the terms in the difference of two squares, we can identify the factors of each number and determine the result of their square difference.
Examples:
Difference of 4 and 9 = 16 - 16 = 0
Difference of 25 and 36 = 62 - 25 = 37
Difference of 9 and 16 = 81 - 256 = -165