Question 4 (vi) - Algebra Identities and Formulas - Chapter 8 Class 8 Algebraic Expressions and Identities

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Ex 9.5, 4 - Chapter 9 Class 8 Algebraic Expressions and Identities - Part 10

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Question 4 Simplify. (vi) (𝑎𝑏+𝑏𝑐)^2−2𝑎𝑏^2 𝑐 (𝑎𝑏+𝑏𝑐)^2−2𝑎𝑏^2 𝑐 (𝑥+𝑦)^2=𝑥^2+𝑦^2+2𝑥𝑦 Putting 𝑥 = 𝑎𝑏 & 𝑦 = 𝑏𝑐 = (𝑎𝑏)^2+(𝑏𝑐)^2+2(𝑎𝑏)(𝑏𝑐)−2𝑎𝑏^2 𝑐 = (𝑎^2×𝑏^2 )+(𝑏^2×𝑐^2 )+(2×𝑎×(𝑏×𝑏)×𝑐)−2𝑎𝑏^2 𝑐 = 𝑎^2 𝑏^2+𝑏^2 𝑐^2+2𝑎𝑏^2 𝑐−2𝑎𝑏^2 𝑐 = 𝒂^𝟐 𝒃^𝟐+𝒃^𝟐 𝒄^𝟐

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