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Example 1 - Chapter 4 Class 9 - Exploring Algebraic Identities (Ganita Manjari I)
Last updated at May 15, 2026 by Teachoo
Class 9
Chapter 4 Class 9 - Exploring Algebraic Identities (Ganita Manjari I)
-
Consecutive Square Numbers
- Visualising Algebraic Identities
- Exercise Set 4.1
- Factorisation of Algebraic Expressions Using Identities
- Exercise Set 4.2
- More Identities
- Exercise Set 4.3
- Rewriting a2 - b2 Identity
- Factorisation Using Algebra Tiles
- Factorisation by Splitting the Middle term
- Exercise Set 4.4
- Finding New Algebraic Identities
- Simplifying Rational Expressions
- Exercise Set 4.5
- Word Problems
- End-of-Chapter Exercises
Transcript
Example 1 Consider any three consecutive square numbers. For example, 1, 4, and 9. Add the smallest and the largest squares. Thus, 1+9=10. Then subtract twice the middle square from this sum. This leads to 10−(2×4)=10−8=2. Our pattern is THE PATTERN: FOR THREE CONSECUTIVE SQUARE NUMBERS, (SMALLEST + LARGEST) - (2 * MIDDLE) = 2 Result will always be 2 ! Let’s take some examples EXAMPLE 1: CONSECUTIVE SQUARES 1, 4, 9 Smallest (1) Middle (4) Largest (9) ADD SMALL & LARGE: TWICE MIDDLE: (SUM) - (TWICE MIDDLE):EXAMPLE 2: CONSECUTIVE SQUARES 9, 16, 25 Smallest (9) Middle (16) Largest (25) ADD SMALL & LARGE: TWICE MIDDLE: (SUM) - (TWICE MIDDLE):
