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A list of **algebra formulas for Class 12** is available here for students. All the formulas are provided as per the latest CBSE syllabus and NCERT curriculum. Algebra is one of the major parts of Mathematics in which general symbols and letters are used to represent quantities and numbers in equations and formulae. The more basic parts of algebra are called elementary algebra and more abstract parts are called modern algebra or abstract algebra. Algebra is very important as it includes everything from elementary equation solving to the study of abstractions such as rings, groups and fields.

Vector Algebra is included in CBSE Class 12 mathematics syllabus as its importance is multifold. Vector Algebra deals with vectors – things that have both directions and magnitudes. It is important in both mathematics and physics. Learning vector algebra will help you in handling geometric transformations and it is very important in understanding Linear Algebra.

## List of Algebra Formulas for Class 12

### Algebra Formulas For Class 12

### Basic Algebraic Identities

The basic algebraic formulas students of Class 12 should know are given below.

- (a+b)
^{2}= a^{2}+2ab+b^{2} - (a-b)
^{2}= a^{2}– 2ab+b^{2} - a
^{2 }– b^{2}= (a+b) (a-b) - (x+a) (x+b) = x
^{2}+(a+b) x+ab - (a+b+c)
^{2}= a^{2 }+ b^{2 }+ c^{2 }+ 2ab+2bc+2ca - (a+b)
^{3 }= a^{3 }+ b^{3 }+ 3ab(a+b) - (a-b)
^{3}= a^{3}– b^{3 }– 3ab(a-b)

**What is algebra in Mathematics?**

- Algebra is one of the branches of Mathematics which deals with variables and numbers.
- In Mathematics, algebra is one of the most important topics in which general symbols and letters represent quantities and numbers in equations and formulae.
- Elementary algebra is the more basic parts of Algebra and more abstract parts are known as modern algebra or abstract algebra.
- It is very important as it covers everything from elementary equation solving to the study of abstractions such as rings, groups, and fields.

**What is an algebraic expression in Mathematics?**

- An algebraic expression is a combination of constants and variables that are connected by addition, subtraction, multiplication, and division signs.
- Various parts of an algebraic expression that are separated by the signs of addition (+) or subtraction (-) are known as terms of the algebraic expression.
- An algebraic expression can be defined as a sum, difference, product, or quotient of constants and variables.
- Let us take an example,

2x + 4

The above expression is known as an algebraic expression where the value

of x may vary, as x is a variable, and 4 is a constant. 2x and 4 are the terms of an algebraic expression that are separated by an addition (+) sign. Anything (a,b, c…….z) can be written in place of x as they all are variables.

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