Physical quantities are divided into two categories – scalar and vector quantities. The quantities which have only magnitude and not any fixed direction are called… Read More

# Tag Archives: Algebra

Given two integers S and M, the task is to find the coefficients of the quadratic equation such that the sum and the product of… Read More

Given a positive integer N, the task is to find the number of Antisymmetric Relations on the given set of N elements. Since the number… Read More

Given a positive integer N, the task is to find the number of Asymmetric Relations in a set of N elements. Since the number of… Read More

Let’s imagine a situation, Ankita went to a fair in her village. She wanted to go on rides like the Giant Wheel and play Hoopla… Read More

Separable equations is an equation where dy/dx=f(x, y) is called separable provided algebraic operations, usually multiplication, division, and factorization, allow it to be written in… Read More

An algebraic expression can be written as the product of its factors. Consider an expression, 7yz +3y. We see that 7yz can be written as… Read More

Algebraic Identities are defined for the algebraic expressions. Algebraic expressions contain variables(a, b, c, x, y, z, etc), numbers(0, 1, 2, 3, 4 …etc) and… Read More

A function can be thought of as a rule or set of rules which map an input to an output knows as its image. x… Read More

An algebraic identity is an equality that holds for any value of its variables. They are generally used in the factorization of polynomials or simplification… Read More

Given an array arr[] consisting of N distinct positive integers, the task is to find the count of triplets (a, b, c) such that the… Read More

Before jumping to the like and unlike terms let’s understand what an algebraic term is? Let’s understand it by an example. 5x + 3y2 =… Read More

The basic operations that are being used in mathematics (especially in real number systems) are addition, subtraction, multiplication and so on. These operations can also… Read More

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations. This article is about Expressions and Identities in… Read More

Binomial theorem or expansion describes the algebraic expansion of powers of a binomial. According to this theorem, it is possible to expand the polynomial “(a… Read More