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Pattern 2
Last updated at August 14, 2026 by Teachoo
Ganita Prakash Class 8 - Part 1, 2
Chapter 6 Class 8 - We Distribute yet things Multiply (Ganita Prakash)
- Distributive Property
- Figure it out - Page 142, 143
- Fast Multiplications Using the Distributive Property
- Square of the Sum/Difference of Two Numbers
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Investigating Patterns
- Figure it out - Page 149
- Mind the Mistake, Mend the Mistake
- This Way or That Way, All Ways Lead to the Bay
- Area of Shaded Region
- Figure it out - Page 154-156
Transcript
Pattern 2Let’s look at this pattern 92 – 12 = 10 × 8 82 – 62 = 14 × 2 72 – 22 = 9 × 5 102 – 42 = 14 × 6 Basically, this pattern is a2 – b2 = (a + b) × (a – b) We prove this using Distributive property (a + b) (a – b) = a × (a – b) + b × (a – b) = a2 – ab + ba – b2 Since ab = ba = a2 – ab + a – b2 = a2 – b2 This is also our Identity Now, let’s do some questions
