To find out the algebraic expression it collects the like terms to add them. the sum of several like the term is the coefficient of the like term. There are mainly two methods of solving additional algebraic expressions : the horizontal method and the column method. The horizontal method is the technique that expresses that all the sums are written in the horizontal line then they are collected with the group after that they have been added. Similarly, the column method is the method that is written in a separate row such that their similar terms are added below the other to the column afterward the addition method is done likewise. Some examples of the horizontal methods of addition in the algebraic form are (7a + 10b – 7c) + (1b + c – 3a) + (a – 4b – 2c) ,where a,b,c are some constants.
= 7a + 10b – 7c + 1b + c – 3a + a – 4b – 2c similarly column method is the method that are also used in algebraic expression by
6a + 8b – 7c
– 4a + 2b + c
a – 3b – 2c
3a + 7b – 8c
6a + 14b – 16c
Formula for Addition of Algebraic Expression
The general formula for Addition of Algebraic Expression can be written as
xa+yb+c=S, where a,b,c are the assumed constants of the given equation and x,y is the coefficient. “S” is the required answer after operating the addition expression. It is also called sum.
Hence algebraic expression is the expression that deals with constant variables with some algebraic operations. in mathematical algebraic expression build-up from algebraic integer constants with variables. Addition in algebraic expression is similar to the addition in number since the addition of algebraic expression has two terms like term and unlike term. here it combines the like term and adds them; these are the processes used in an algebraic expression. Like terms are the term that has a similar variable with the same power. The can in numerical coefficient is required in like terms for finding the algebraic expression; it needs to find out the like terms and add them. Similarly, the term that has different variables that raise to different power are known as, unlike term. These are the methods that are used in addition to algebraic expression in mathematical terms.
Definition for Addition of Algebraic Expression
In an algebraic expression, the addition is the most essential part that mainly describes the coefficient-like terms with the sums to find out the final expression. It also provides different methods and different processes to solve the addition of algebraic expression. to find the addition method in algebraic expression it has first noticed the given expression that is used. Place the given expression in a row and separate them by using the additional symbols in between them. After that, it has to rearrange the given term and place the like term together.
After that, it is required to simplify the like term and after that, it gets the final expression that is required for it. In these ways, it can find the addition of algebraic expressions in the horizontal method. Similarly, it can be seen to find algebraic expressions of addition in the column method by writing the given expression. After that, it has to follow the rules that give us the proper way to place one expression below one another. By putting the like terms in the same column. After that, it has to add the like term column with their coefficient values. After that, it can be found that the result it will give it will be in standard form.
Application of Addition Algebraic Expression
Some applications are mentioned here to know the utilization of additional algebraic expressions. Mainly it can be seen that many physical and chemical science employees need the help of algebraic expression to solve their research work or projects that have been required for them these are the application required in the scientific field as well as the addition of algebraic method is also required in programming language similarly the algebraic expression is also required for art and architecture from that also help them to find and solve sums in the basis of algebraic equations. To calculate the correct partition researchers used this algebraic expression. They are also very useful because they help to represent the value of the variables. This is also used in school and colleges so that this method of calculation can be used in making the subject more interesting and new for the students mostly algebra is used in mathematics, physics, and chemical science that is based on the algebraic expression it mainly makes the researcher as well as the common people to solve the problem easily and also provide the scope to work in front. Algebra expression in addition is also required in financial and business management that help to work and also help to calculate the profit and losses by using this algebraic expression.
Conclusion
Here in the thesis portion, it has been discussed about the total form of algebraic expression of addition and its uses, with the formula and the methods it also tells us about the requirement of algebra in our daily life that mainly helps to understand the equation and the calculation method that is used in algebra. There are many applications of algebraic expression and the addition of algebra in science. Many researchers also used additional algebraic expressions in their research work to solve equations. These are the things by which it can justify the above-mentioned algebraic expression and its requirement.