Factorisation using common factors
Last updated at July 18, 2026 by Teachoo
Transcript
Example 1 Factorise 12š^2b + 15ćššć^2 12a^2b + 15ab^2 12a^2b = 12 Ć a^2b = 2 Ć 2 Ć 3 Ć a^2b = 2 Ć 2 Ć 3 Ć a Ć a Ć b 15ab^2 = 15 Ć ab^2 = 3 Ć 5 Ć ab^2 = 3 Ć 5 Ć a Ć b Ć b Now, 12ab^2 = 2 Ć 2 Ć 3 Ć a Ć a Ć b 15ab^2 = 3 Ć 5 Ć a Ć b Ć b So, 3, a, b are common factors. 12ab^2 + 15ab^2 = 2 Ć 2 Ć 3 Ć a Ć a Ć b + 3 Ć 5 Ć a Ć b Ć b = 3 Ć a Ć b (2 Ć 2 Ć a + 5 Ć b) = 3ab (4a + 5b)