Question 3 (i) - Examples - Chapter 8 Class 8 Algebraic Expressions and Identities

Last updated at August 7, 2026 by Teachoo

Example 13 - Using Identity (III), find (i) (3/2 m + 2/3n) (ii) 983^2

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Transcript

Example 13 Using Identity (III), find (i) (3/2 𝑚+2/3 𝑛)(3/2 𝑚−2/3 𝑛) (3/2 𝑚+2/3 𝑛)(3/2 𝑚−2/3 𝑛) (𝑎+𝑏)(𝑎−𝑏)=𝑎^2−𝑏^2 Putting 𝑎 = 3/2 𝑚 & 𝑏 = 2/3 𝑛 = (3/2 𝑚)^2−(2/3 𝑛)^2 = (3/2)^2×𝑚^2−(2/3)^2×𝑛^2 = 𝟗/𝟒 𝒎^𝟐−𝟒/𝟗 𝒏^𝟐

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