Factorisation using identities
Last updated at Dec. 16, 2024 by Teachoo
Ex 12.2, 4 Factorise. (iii) 𝑥^4 – 〖"(y + z)" 〗^4𝑥^4 – 〖"(y + z)" 〗^4 = (𝑥^2 )^2 −((〖𝑦+𝑧)〗^2 )^2 Using 𝒂^𝟐 − 𝒃^𝟐 = (a + b) (a − b) Here 𝑎=𝑥^2 and b = (𝑥−𝑧)^2 = [𝑥^2+(𝑦+ z)^2 ] [𝑥^2 −(𝑦+ z)^2] Again Using 𝒂^𝟐 − 𝒃^𝟐 = (a + b) (a − b) Here 𝑎=𝑥 and b = (𝑦+𝑧) = [𝑥^2+(𝑦+ z)^2 ] (𝑥−(𝑦+𝑧))(𝑥+(𝑦+𝑧)) = [𝒙^𝟐+(𝒚+ 𝒛)^𝟐 ] (𝒙−𝒚−𝒛)(𝒙+𝒚+𝒛)