Algebra Identities and Formulas
Last updated at August 14, 2026 by Teachoo
Transcript
Question 3 Find the following squares by using the identities. (iv) (2/3 𝑚+3/2 𝑛)^2 (2/3 𝑚+3/2 𝑛)^2 (𝑎+𝑏)^2=𝑎^2+𝑏^2+2𝑎𝑏 Putting 𝑎 = 2/3 𝑚 & 𝑏 = 3/2 𝑛 = (2/3 𝑚)^2+(3/2 𝑛)^2+2(2/3 𝑚)(3/2 𝑛) = (2/3)^2×𝑚^2+(3/2)^2×𝑛^2+((2 × 2 × 3)/(3 × 2))×(𝑚×𝑛) = 𝟒/𝟗 𝒎^𝟐+ 𝟗/𝟒 𝒏^𝟐+𝟐𝒎𝒏