Algebra Formulas And Identities | List Of Important Algebra Formulas In Maths

Algebra Formulas plays a crucial role in competitive exams and academic studies. In this blog, we cover all the essential algebraic formulas and identities that will help you solve problems quickly and efficiently. From basic algebraic identities to advanced factorization formulas, this guide provides a structured approach to mastering algebra. Whether you’re preparing for competitive exams or brushing up on your math skills, these formulas will be a valuable resource for quick revision.

What are Algebraic Identities?

Algebraic identities are equations in algebra that hold true for all values of variables.
Algebraic identities have their application in the factorization of polynomials.
They contain variables and constants on both sides of the equation.
In an algebraic identity, the left-side of the equation is equal to the right-side of the equation.
For example, , which is true for all the values of a and b.
For example, (a + b)² = a² + 2ab + b² which is true for all the values of a and b.

Here’s a list of important algebraic formulas and identities:

Basic Algebra Formulas & Identities

(a + b)² = a² + 2ab + b²
(a – b)² = a² – 2ab + b²
a² – b² = (a – b)(a + b)
(x + a)(x + b) = x² + (a + b)x + ab

Cube Formulas & Identities

(a + b)³ = a³ + 3a²b + 3ab² + b³
(a – b)³ = a³ – 3a²b + 3ab² – b³
a³ + b³ = (a + b)(a² – ab + b²)
a³ – b³ = (a – b)(a² + ab + b²)

Factorization Formulas & Identities

x² + (a + b)x + ab = (x + a)(x + b)
a⁴ – b⁴ = (a² – b²)(a² + b²)

Surds and Indices Formulas & Identities

a^m × a^n = a^(m+n)
a^m ÷ a^n = a^(m-n)
(a^m)^n = a^(mn)
(ab)^m = a^m × b^m
(a/b)^m = a^m / b^m

Important Quadratic Equation Formula

ax² + bx + c = 0 ⇒ x = [-b ± √(b² – 4ac)] / 2a

Mastering algebraic formulas and identities is essential for solving mathematical problems efficiently, especially in competitive exams and academic studies. These formulas help in quick calculations, factorization, and simplifications, making problem-solving easier. Regular practice and application of these identities will enhance your mathematical skills and speed. Keep revising these formulas, solve practice problems, and apply them strategically to excel in exams. Stay consistent, and algebra will become your strength!

Keep Practicing!!