Algebra EP4 | Special Products & Algebraic Identities | Squares & Difference of Two Squares |
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Algebra EP4 | Special Products & Algebraic Identities | Squares & Difference of Two Squares |
19 просмотров · 2 нед. назад
MathExam
3 подписчика
19 просмотров · 2 нед. назад
Learn three essential algebraic identities and discover how to recognise special patterns before expanding.
In this episode of MathExam Algebra, we study:
(a+b)^2=a^2+2ab+b^2
(a-b)^2=a^2-2ab+b^2
(a+b)(a-b)=a^2-b^2
You will see how these identities are formed using expansion and grid multiplication, how to use them in examples, and how to recognise more complicated expressions by treating a group such as \((b+c)\) as one term.
We also look at important reminders such as:
(3x)^2=9x^2.
This lesson is useful for students studying GCSE, GCE and HKDSE Mathematics, as well as anyone who wants to strengthen their algebra skills.
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Chapters
From Expansion to a Special Product
Square of a Sum
Grid Multiplication: \((a+b)^2\)
Square of a Difference
Comparing the Two Square Identities
Difference of Two Squares
Example: \((x+5)(x-5)\)
Example: \((3x+4)(3x-4)\)
Treat a Group as One Term
Hidden Grouping
Remember
Summary
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2026-Oct-09. 2026-10-09