Algebra Identities - Identity III
Last updated at April 16, 2024 by Teachoo
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