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.

If we wanted to expand a binomial expression with a large power, e.g. (1 + x)32, use of Pascal’s triangle would not be recommended because of the need to generate a large number of rows …

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 …

1 day ago · We are asked to expand the binomial expression (3 − y)4 using Pascal's Triangle. This means we need to find the coefficients for each term in the expansion. Pascal's Triangle …

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

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.

2 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 …