How to Expand (x + y)⁴ Step-by-Step | Foundation Before Pascal’s Triangle

Описание: Before we officially move into Pascal’s Triangle, it is very important to understand how to expand larger binomials manually.
In this video, I show you step-by-step how to expand (x + y)⁴ using normal expansion, the same method we used for (x + y)³.

This is one of the topics that appear in JAMB, WAEC, and 100-level university mathematics, especially in Binomial Theorem, permutations and combinations, and polynomial expressions.

🔹 What You Will Learn in This Lesson
1. How to Expand (x + y)⁴ Clearly and Slowly

I break the expansion into parts so you can see exactly how the terms grow from:
• First multiplication
• Combining like terms
• Building the polynomial structure

By the end of the lesson, you will fully understand where the coefficients come from and why each term appears.

2. Why This Expansion Is Important

Expanding (x + y)⁴ manually helps you:
✔ understand polynomial patterns
✔ understand the role of coefficients
✔ prepare for Pascal’s Triangle
✔ prepare for the Binomial Theorem
✔ answer JAMB and university-level questions confidently

Once you understand this process, Pascal’s Triangle becomes very easy.

3. Assignment for You

After watching and understanding the steps, try this yourself:

Expand (a + b)⁴ using the same method.

Drop your answer in the comment section.
This helps me know how many students are following step-by-step.

🔜 NEXT VIDEO: PASCAL’S TRIANGLE

Now that you understand how expansions grow, the next lesson will introduce Pascal’s Triangle, a faster shortcut to expand binomials without long multiplication.
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🎯 Perfect For:

✔ JAMB 2026 candidates
✔ WAEC students
✔ 100-level students
✔ Engineering, Physics, and Mathematics undergraduates
✔ Anyone learning Binomial Expansion for the first time

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