Factorisation by regrouping terms
Last updated at Dec. 26, 2024 by Teachoo
Transcript
Ex 12.2, 3 Factorise the expressions. (iv) 〖𝑎𝑚〗^2 + 〖𝑏𝑚〗^2 + 〖𝑏𝑛〗^2 + 〖𝑎𝑛〗^2〖𝑎𝑚〗^2 + 〖𝑏𝑚〗^2 + 〖𝑎𝑛〗^2 + 〖𝑏𝑛〗^2 = (〖𝑎𝑚〗^2 + 〖𝑏𝑚〗^2) + (〖𝑎𝑛〗^2 + 〖𝑏𝑛〗^2) = 𝑚^2 (𝑎+𝑏)+𝑛^2 (𝑎+𝑏) Taking (a + b) common, = (a + b) (𝒎^𝟐 + 𝒏^𝟐) Both have 𝑚^2 as common factor Both have 𝑛^2 as common factor