General and middle terms

The expanded value of an algebraic expression of the form (x + y)n is found using the binomial theorem. Finding the value of (x + y)2, (x + y)3, and (a + b + c)2 is simple and may be done simply by multiplying the exponent value by the number of times. However, calculating the […]

Compound interest is the interest on a loan or a deposit that is computed using both the original principal and the interest accrued over time. Compound interest, which is also known as “interest on interest,” has been in use since the 17th century in Italy. It is computed by multiplying the original principal amount by

Introduction A binomial distribution can be considered the likelihood of Success or Failure outcome in numerous experiments or surveys: binomial distribution is a form of a probability distribution characterised by two possible outcomes. A coin flip, for example, has only two outcomes: heads or tails, and passing a test has only two outcomes: pass or

The binomial theorem provides a formula to expand the algebraic statement (x+y)^n to a sum of terms, using individual exponents of variables x and y. The expanded value of these algebraic expressions is determined by using this theorem. It is easy to calculate the value of expressions such as (x + y + z)^6, (a

For the most part, the binomial theorem is useful in determining the expanded value of an algebraic expression of the type (x + y)n. Finding the value of (x + y)2, (x + y)3, (a + b + c)2 is straightforward and may be accomplished by algebraically multiplying the exponent value by the number of

To understand binary subtraction, we will first understand what is a binary number. So, binary numbers are the numbers that consist of only two digits 1 and 0. In this topic, we will see in detail, how to perform a Binary Subtraction. But before that, we will see some rules which govern the operation of

Mathematics covers the vast syllabus for the preparation of the IIT-JEE. The topic of binomial theorems and properties of binomial coefficients is vast and contains many rules and formulas. This topic may not be very simple, but understanding it step by step will be a good investment of time for the exams. Definition: The binomial

The binomial theorem is an algebraic formula by which we can find the value of any positive integer exponent of a binomial of the form x y as a polynomial of the nth degree of x and y. When a binomial is in the greater form, then only the multiples of the term are the

The algebraic expansion of powers of a binomial is described by the binomial theorem or expansion. The polynomial “(a + b)n” can be expanded into a sum including terms of the form “axzyc,” where the exponents z and c are non-negative integers and z + c = n, and the coefficient of each term is

Pascal’s triangle is a triangular array of binomial coefficients that arises in probability theory, combinatorics, and algebra, among other areas of mathematics. It is named after the French mathematician Blaise Pascal in much of the Western world, despite the fact that other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy.