Q1
What is (a+b)²?
Aa² + 2ab + b²
Ba² + b²
Ca² - 2ab + b²
D2a + 2b
ICSEClass 8 (ICSE)MathematicsCh 12 · Topic 2
Practice and Revision - Algebraic Identities
Let us practise and revise what we learned about algebraic identities. Algebraic identities are equations that hold true for all values of t
Core concept
The identity (a+b)² = a² + 2ab + b² helps us quickly expand squared binomials without multiplying term by term.
How it works
The identity (a-b)² = a² - 2ab + b² works similarly for subtraction, and (a+b)(a-b) = a² - b² is another useful identity.
Why it matters
These identities can simplify calculations, like finding 102² using (100+2)² = 100²+2(100)(2)+2² = 10000+400+4 = 10404.
Key detail
Memorising and applying these identities saves time and helps solve algebra problems more efficiently.
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Quick notes
• (a+b)² = a² + 2ab + b².
• (a-b)² = a² - 2ab + b².
• (a+b)(a-b) = a² - b².
• These identities expand expressions quickly.
• 102² can use (100+2)² = 10404.
• Identities simplify complex calculations.
• They save time in algebra.
• Memorising them helps solve problems efficiently.