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Factorisation using common factors
Last updated at April 16, 2024 by Teachoo
Ex 12.1, 2 (Method 1) Factorise the following expressions. (iii) 7𝑎^2 + 14a7𝑎^2 + 14a = 7𝑎^2 + (7 × 2) a = (7a × a) + (7a × 2) Taking 7a common, = 7a (a + 2) Ex 12.1, 2 (Method 2) Factorise the following expressions. (iii) 7𝑎^2 + 14a7𝑎^2 + 14a 7𝒂^𝟐 = 7 × 𝑎^2 = 7 × a × a 14a = 14 × a = 7 × 2 × a So, 7 and a are the common factors. 7𝑎^2 + 14a = (7 × a × a) + (2 × 7 × a) = (7 × a) (a + 2) = 7a (a + 2)