Elementary Algebra

Algebra is recognized to be fundamental to a vast number of subjects other than mathematics and statistics like economics, natural sciences, and computer sciences as well. The subject has its roots based on different rich civilizations all over the world and have developed over a long time. the ultimate credits for the proper and systematic development f the subject must be given to Renaissance Europe for being able to come up with a proper symbolism for the representation of the unknowns, real number identification systems, relations between them, and their respective operations. These systems are now universally accepted. A wide variety of mathematical operations and numerical quantities are explained through algebra with the aid of very simple and easy-to-understand symbols. 

Elementary Algebra Formula

(a+b) ² = a² + b² + 2ab

(a-b) ² = a² + b² – 2ab

a² – b² – (a+b) (a-b)

a² – b² = (a+b) ² – 2ab or, a² + b² = (a-b) ² + 2ab

a³ + b³ = (a+b) (a² -ab + b²) = (a+b) ³ – 3ab (a+b)

a³ – b³ = (a-b) (a² +ab + b²) = (a-b) ³ – 3ab (a-b)

2(a²+b²) = (a+b) ² + (a-b) ²

(a+b) ² – (a-b) ² = 4ab

a4 + b4 = (a+b) (a-b) [a+b) ² – 2ab]

(a-b) ² = (a+b) ² – 2ab

(a+b) ² = (a-b) ² + 2ab

The above list contains all the main elementary algebra formulas. These formulas are mandatory to learn to be able to solve algebraic problems. It is advised that only memorizing the elementary algebra formulas is not the smartest thing to do but it would be so much better to understand the underlying concepts of each formula to gather in-depth knowledge about these equations. Each of these formulas can be applied according to the demand of a problem in a particular equation. 

Elementary Algebra: Concepts and Applications

Mathematics is an extremely fast subject which has a huge number of topics. It is also considered as one of the most important subjects to study as mathematics is responsible for solving and answering a wide range of questions i.e., from basic questions like how much do I need to save to buy a car in six months to very complex questions like how and when the universe came into existence. Algebra is one of the more advanced fields in mathematics and is typically introduced to students in a higher class. Algebra is easily more complex than basic mathematics like arithmetic. This sub-topic of mathematics is broadly divided into two main areas known as elementary algebra and advanced algebra. At the school level, students study the practice and application of elementary algebra with the help of different formulas. 

As mentioned before, the main application of elementary algebra is to take a wide variety of mathematical operations and numerical quantities and explain them with the aid of simple and easy-to-understand symbols. 

Conclusion

Algebra is considered to be an important thing to learn to study a vast number of subjects other than mathematics itself such as statistics, economics, natural sciences, and computer sciences. Algebra can be broadly classified into elementary algebra and advanced algebra the former is the basis of all algebra and this is the algebra that is taught to students in school. The subject has its roots based on different rich and old civilizations all around the world and have developed over a long period. different civilizations have contributed to the subject and ultimately, Renaissance Europe has taken it all and made a universally acceptable system that is followed today. A wide variety of mathematical procedures and numerical quantities are explained with the help of algebra with the help of simple and easy-to-understand symbols and elementary algebra formula that is based on logic and concept. The main application of elementary algebra is to take a wide variety of mathematical operations and numerical quantities and explain them with the aid of simple and easy-to-understand symbols.