Applications of (a + b – c)²

Square of the quantity (a + b – c) is expressed as (a + b – c)². Numerous applications of this statement can be found in science, engineering, and mathematics. Here are a few instances:

  • Algebra: This expression can be used to expand and simplify variable-based statements in algebra. One way to get a² + b² + c² + 2ab – 2ac – 2bc is to extend (a + b – c)².
  • Geometry: The area of several geometric shapes can be found using the formula (a + b – c)². For example, it can be useful to determine the area of a square or rectangle whose sides are given by the terms a, b, and c.
  • Statistics: In statistics, this expression could be used in the context of calculating variances or deviations from a mean value, particularly when dealing with multiple variables.
  • Physics: In energy-related equations, such as kinetic energy or potential energy formulations, where the terms indicate various contributing components, (a + b – c)² can appear.
  • Computer Science: Expressions such as (a + b – c)² may be found in algorithms in computer science, especially in numerical approaches or optimizations.

a plus b minus c Whole Square

The expression (a+b−c)2 is a binomial expression. It is represented as (a + b – c)². The Square of a number is defined as the product of the number itself. Hence, the value of (a + b – c) is (a + b – c) x (a + b – c).

a plus b minus c Whole Square

In this article, we will learn what the value of a plus b minus c whole square or (a + b – c)², how to find its value how to apply it in problems, and its applications. Let’s start our learning on the topic (a + b – c)2.

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What is (a + b – c)² Expression

a plus b minus c whole square or (a + b – c)² is an algebraic expression where a, b, c are the algebraic terms that represent numbers or values. Here we find the sum of a, b, then the difference of the sum found and c, the square of the result obtained is the final result. More simply (a + b – c)2 is obtained by the sum of squares of all the three individual terms and the twice of all the products of two terms i.e., ab, -bc and -ca....

(a + b – c)2 Formula

Below is the formula for (a + b – c)2...

Expanding Expression

Expression (a + b – c)² can be expanded easily by breaking it as a product of (a + b – c) with itself or by using algebraic identity (x+y)2 and (x-y)2. The expanded form of expression (a + b – c)² is shown in the image added below:...

Applications of (a + b – c)²

Square of the quantity (a + b – c) is expressed as (a + b – c)². Numerous applications of this statement can be found in science, engineering, and mathematics. Here are a few instances:...

Conclusion

(a + b – c)² is a simple algebraic expression that is equal to a2 + b2 + c2 + 2( ab – bc – ca ) and is very useful in simplifying expressions in mathematical aspects. It finds its application in Algebra, Geometry, Statistics ,Physics, Computer Science , Engineering and Finance....

Examples on (a + b – c)²

Example 1: Evaluate: (A + 5B – 2C)2....

Practice Questions

Q1: Evaluate: (5x + 3y – 4z)2....

A plus B minus C Whole Square – FAQs

What is formula for (a + b – c) whole square?...