Learn how to expand binomials using Pascal's triangle by working through several examples to improve your mathematical knowledge and skills.

The demonstration below illustrates the pattern. Pascal's Triangle presents a formula that allows you to create the coefficients of the terms in a binomial expansion.

Sal introduces Pascal's triangle, and shows how we can use it to figure out the coefficients in binomial expansions.

Pascal’s Triangle is a triangular arrangement of numbers where each interior number is the sum of the two numbers directly above it. It produces the coefficients used when expanding binomials ...

Dec 1, 2025 · This lesson covers how to observe and use the connection between Pascal’s Triangle and expanded binomials to assist in expanding binomials.

Pascal’s triangle (1653) has been found in the works of mathematicians dating back before the 2nd century BC. While Pascal’s triangle is useful in many different mathematical settings, it will be …

4 days ago · In this explainer, we will learn how to use Pascal’s triangle to find the coefficients of the algebraic expansion of any binomial expression of the form (𝑎 + 𝑏) .

Pascal Triangle and Exponent of the Binomial To understand pascal triangle algebraic expansion, let us consider the expansion of (a + b)4 using the pascal triangle given above.

By using the binomial theorem and determining the resulting coefficients, we can easily raise a polynomial to a certain power. This video shows how to expand the Binomial Theorem, and does one …

Jun 17, 2025 · Learn how Pascal's Triangle simplifies complex calculations and enhances your understanding of combinations and algebra.