Distributive Property
Last updated at January 12, 2026 by Teachoo
Transcript
Question 2 - Page 140 Expand (i) (a – u) (b + v) (ii) (a – u) (b – v). Let’s do one by one (i) (a – u) (b + v) Now, (𝒂−𝒖)(𝒃+𝒗)=𝑎 (𝑏+𝑣)−𝑢(𝑏+𝑣) =𝑎𝑏+𝑎 × 𝑣+(−𝑢)× 𝑏+(−𝑢) × 𝑣 =𝒂𝒃+𝒂𝒗−𝒖𝒃−𝒖𝒗 (ii) (a – u) (b – v) Now, (𝒂−𝒖)(𝒃−𝒗)=𝑎 (𝑏−𝑣)−𝑢(𝑏−𝑣) =𝑎𝑏+𝑎 × (−𝑣)+(−𝑢)× 𝑏+(−𝑢) × (−𝑣) =𝒂𝒃−𝒂𝒗−𝒖𝒃+𝒖𝒗