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

Last updated at August 14, 2026 by

Ex 9.5, 4 - Chapter 9 Class 8 Algebraic Expressions and Identities - Part 11

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Question 4 Simplify. (vii) (𝑚^2−𝑛^2 𝑚)^2+2𝑚^3 𝑛^2 (𝑚^2−𝑛^2 𝑚)^2+2𝑚^3 𝑛^2 (𝑎−𝑏)^2=𝑎^2+𝑏^2−2𝑎𝑏 Putting 𝑎 = 𝑚^2 & 𝑏 = 𝑛^2 𝑚 = (𝑚^2 )^2+(𝑛^2 𝑚)^2−2(𝑚^2 )(𝑛^2 𝑚)+2𝑚^3 𝑛^2 = 𝑚^(2 × 2)+(𝑛^2 )^2×𝑚^2−2×(𝑚^2×𝑚)×𝑛^2+2𝑚^3 𝑛^2 = 𝑚^4+𝑛^4 𝑚^2−2𝑚^3 𝑛^2+2𝑚^3 𝑛^2 = 𝒎^𝟒+𝒏^𝟒 𝒎^𝟐

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