In algebra, a binomial is a polynomial with exactly two terms, such as (a + b). Expanding binomials—specifically squaring or cubing them—is a fundamental skill used to simplify complex equations.
Instead of multiplying the brackets manually every time, we use specific patterns known as Special Products to find the answer quickly.
Key Formulas:
Square of a Sum:

Square of a Difference:

Cube of a Sum:

Cube of a Difference:

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Worked Example
Expand the following expression:

Solution: Here, a = 2x and b = 3. We use the Square of a Sum formula.


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