Question 3 - Think and Reflect (Page 71) - Visualising Algebraic Identities - Chapter 4 Class 9 - Exploring Algebraic Identities (Ganita Manjari I)

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Question 3 - Think and Reflect (Page 71) When will (𝑎+𝑏)^2 be equal to 𝑎^2+𝑏^2? We know that (𝒂+𝒃)^𝟐=𝒂^𝟐+𝒃^𝟐+𝟐𝒂𝒃 Now, putting (𝑎+𝑏)^2 equal to 𝑎^2+𝑏^2 We get 𝒂^𝟐+𝒃^𝟐+𝟐𝒂𝒃=𝒂^𝟐+𝒃^𝟐 2𝑎𝑏=𝑎^2+𝑏^2−𝑎^2−𝑏^2 𝟐𝒂𝒃=𝟎 2𝑎𝑏=0/2 𝒂𝒃=𝟎 Thus, they are equal if ab is equal to 0 This is possible if Either numbers is 0 (i.e. a = 0 or b = 0) Or both numbers are 0 (i.e. a = 0 and b = 0) Example: a = 0, b = 2 Or a = 12, b = 0 Or a = 0, b = 0