In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.

Let us multiply a+b by itself using Polynomial Multiplication : (a+b) (a+b) = a2 + 2ab + b2. Now take that result and multiply by a+b again: (a 2 + 2ab + b 2) (a+b) = a3 + 3a2b + 3ab2 + b3. …

The binomial theorem formula is (a+b) n = ∑ nr=0n C r a n-r b r, where n is a positive integer and a, b are real numbers, and 0 < r ≤ n. This formula helps to expand the binomial expressions …

What is the formula for the Binomial Theorem? What is it used for? How can you remember the formula when you need to use it? Learn here!

The binomial theorem states a formula for expressing the powers of sums. The most succinct version of this formula is shown immediately below. Isaac Newton wrote a generalized form of …

Oct 18, 2025 · The binomial theorem is a mathematical formula that gives the expansion of the binomial expression of the form (a + b)n, where a and b are any numbers and n is a non …

Nov 19, 2025 · Binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers (a + b) may be expressed as the sum of n + 1 terms. The theorem is …

The binomial theorem is used to expand polynomials of the form (x + y) n into a sum of terms of the form ax b y c, where a is a positive integer coefficient and b and c are non-negative …

Learn about the Binomial Theorem Formula, and how you can use it to carry out Binomial Theorem Expansion in the A-Maths Syllabus.

Nov 30, 2025 · The theorem states that for any given positive integer n, the expansion of the binomial expression (a + b) n can be expressed as the sum of n + 1 terms, where each term is …