In mathematics, understanding how to calculate the square of the difference of two numbers, denoted as (A – B)^2, is a fundamental concept. This operation appears in various mathematical problems, equations, and formulas. In this guide, we will walk you through the step-by-step process of calculating (A – B)^2 to help you grasp the mechanics behind this operation more effectively.
Before diving into the calculations, let’s break down the formula (A – B)^2. This expression represents the square of the difference between two numbers, A and B.
Expanding the expression (A – B)^2 results in:
(A – B)^2 = A^2 – 2AB + B^2
This expanded form is derived through the process of foiling or expanding a binomial squared. By following a systematic approach, we can simplify this expression to obtain the final result.
Now, let’s go through the step-by-step process of calculating (A – B)^2:
To illustrate this process, let’s consider an example with specific values for A and B:
Given: A = 5, B = 3
Therefore, the square of the difference between 5 and 3 is 4.
By mastering the steps outlined in this guide, you can confidently calculate (A – B)^2 and leverage this knowledge across various mathematical contexts. Stay tuned for more in-depth guides on mathematical concepts and operations.
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