Factorisation by regrouping terms
Example 3 Important
Ex 12.1, 3 (i)
Ex 12.1, 3 (iii)
Ex 12.1, 3 (ii) Important
Ex 12.1, 3 (iv) Important
Ex 12.1, 3 (v) Important
Ex 12.2, 3 (i)
Ex 12.2, 3 (ii) Important
Ex 12.2, 3 (iii)
Ex 12.2, 3 (v) Important
Ex 12.2, 3 (iv) Important You are here
Ex 12.2, 3 (vi)
Ex 12.2, 3 (vii)
Ex 12.2, 3 (viii) Important
Ex 12.2, 3 (ix)
Last updated at Dec. 26, 2024 by Teachoo
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