Learn how to simplify ##\frac{x^2 – 9}{x^2 + 5x + 6}## using difference of squares and trinomial factoring while identifying excluded values and discontinuities.
Featured Articles on: ALGEBRA
Simplifying Polynomial Expressions: Technical Step-by-Step Guide
A technical overview of simplifying polynomial expressions, focusing on distribution, combining like terms, and verification through numerical and calculus-based methods.
Linear Equation with One Variable: Technical Solution and Analysis
A technical guide to solving the linear equation with one variable 5x – 12 = 3x + 8. Includes step-by-step algebraic reduction, verification, and historical context.
SASTRA Ramanujan Award 2025: Breakthroughs in Number Theory
Learn about SASTRA Ramanujan Award 2025 winner Dr. Alexander Smith and his work on congruent number problems and class group distributions.
Experiential Math Learning: Curing Math Phobia in India
Experiential math learning is transforming Indian education. Discover how Ramanujan Math Parks and Atal Tinkering Labs are making math hands-on.
Big O Notation: A Guide to Understanding Algorithm Efficiency
Big O notation is a crucial concept in computer science, describing the efficiency of algorithms. This guide offers a comprehensive overview of Big O notation and its applications.
The Power of Banach Limits
Explore the fascinating world of the Banach Limit, a mathematical tool that extends the concept of limits beyond convergent sequences, assigning a limit value to sequences that might otherwise seem ‘limitless’.
Understanding the Convergent Matrix
A **Convergent Matrix** is a square matrix that converges to the zero matrix when raised to successive powers. This article explores the properties of these matrices and their importance in iterative methods.
Category Theory Limits
Category theory limits provide a unified way to describe and relate various mathematical structures. This post explains how category theory limits are fundamental tools for understanding complex mathematical ideas.
Limit Superior and Inferior
Understand Limit Superior and Inferior: Learn how these concepts define the eventual bounds of sequences and functions, and their importance in mathematical analysis.
The Diverse Types of Convergence in Mathematics
Understanding the different **types of convergence** is essential in mathematics. From sequences and series to functions, this post explores the various modes of convergence.
Selling Price Calculation with 20% Loss
Profit and loss questions improve real-world calculation ability.
Probability of Drawing Two Red Balls
Probability is key in logical and math aptitude exams.
The Sum of Series Formula
This post explores the Sum of Series Formula, showing you how to derive and apply it to solve complex series problems. You’ll learn the formula and see examples.
Trigonometric Identities
Learn how to solve trigonometric problems by understanding and applying Trigonometric Identities. We break down the steps to find ##\sin^3 \theta + \cos^3 \theta## when given ##\sin \theta + \cos \theta = \frac{5}{4}##.
GCD Calculation
Learn about **GCD calculation** and the Euclidean algorithm. This post provides a step-by-step guide to finding the greatest common divisor of two numbers, crucial in various mathematical applications.