Ex 8.4
Last updated at Dec. 16, 2024 by Teachoo
Ex 8.4, 3 Simplify. (vi) (𝑥+𝑦)(𝑥^2−𝑥𝑦+𝑦^2 ) (𝑥+𝑦)(𝑥^2−𝑥𝑦+𝑦^2 ) = 𝑥(𝑥^2−𝑥𝑦+𝑦^2 )+𝑦(𝑥^2−𝑥𝑦+𝑦^2 ) = (𝒙×𝒙^𝟐 )−(𝒙×𝒙𝒚)+(𝒙×𝒚^𝟐 )+(𝒚×𝒙^𝟐 )−(𝒚×𝒙𝒚)+(𝒚×𝒚^𝟐 ) = 𝑥^3−𝑥^2 𝑦+𝑥𝑦^2+𝑦𝑥^2−𝑥𝑦^2+𝑦^3 = 𝑥^3−𝑥^2 𝑦+𝑥^2 𝑦+𝑥𝑦^2−𝑥𝑦^2+𝑦^3 = 𝑥^3−𝑥^2 𝑦+𝑥^2 𝑦+𝑦^3 = 𝒙^𝟑+𝒚^𝟑