Скачать или смотреть Special Cases: The Difference of Two Squares & Missing Terms

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⚠️ What happens when a quadratic equation is “missing” a term?
0:00 – Review: the Area Method
0:08 – The “zero middle term” mystery
0:58 – Geometric proof: x² − 9
1:19 – Handling coefficients: 2x² − 200
1:40 – Quadratics with no constant term (single bracket)
2:20 – Practice and summary

In this lesson, we apply the Reverse Area Method to special cases that often confuse students — including the Difference of Two Squares and quadratics with no middle or no constant term.

By treating x² − 9 as a quadratic with a 0x middle term, students see that the same structural logic still applies.

Using geometry, we visually show that the area of x² − 3² is identical to a rectangle with sides (x + 3) and (x − 3)

No tricks. No memorisation. Just structure that makes sense 🧠📐

🎯 Key Takeaways for Teachers & Students

🔹 The 0x Concept
Why missing middle terms must be opposites (additive inverses) so they cancel

🔹 Difference of Two Squares
A geometric proof that
a² − b² = (a − b)(a + b)

🔹 Leading Coefficients Made Clear
Why expressions like
2x² − 200
should be simplified before factoring

🔹 Single-Bracket Factorisation
Understanding
x² + x
as a rectangle with width x

Who This Video Is For
🎯 Teachers who want students to understand factoring
📘 Students confused by “missing” terms
🚀 Anyone preparing for advanced algebra or Calculus


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👉 https://www.mathsadviceonyourdevice.com/

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💌 Contact: raquel@mathsadviceonyourdevice.com

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🧡 Why I Teach This Way

Doing maths is like going to the gym 💪
You build strength by doing, a little every day.
My mission is to make maths clear, logical, and achievable — for students and teachers.

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