Question 1 - Page 145 - Square of the Sum/Difference of Two Numbers - Chapter 6 Class 8 - We Distribute yet things Multiply (Ganita Prakash)
Last updated at January 12, 2026 by Teachoo
Square of the Sum/Difference of Two Numbers
Square of the Sum of Two Numbers
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Class 8 (Ganita Prakash - 1, 2 & Old NCERT)
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
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Square of the Sum/Difference of Two Numbers
- 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
Question 1 - Page 145 If a and b are any two integers, is (a + b)2 always greater than a2 + b2? If not, when is it greater?No. The formula is (a + b)2 = a2 + b2 + 2ab. It is greater only if 2ab is positive (meaning a and b have the same sign, like both positive). It is equal if one of the numbers is 0 (because 2 × a × 0 = 0). It is smaller if a and b have opposite signs (e.g., 5 and -5), because 2ab becomes a negative number.
