Ex 12.1, 2 (vii) - Chapter 12 Class 8 Factorisation
Last updated at July 18, 2026 by Teachoo
Factorisation using common factors
Factorization by common factors
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Ex 12.1, 2 (Method 1) Factorise the following expressions. (vii) 10 š^2 ā 15 š^2 + 20 š^2 Now, 10š^2= 10 Ć š^2 = 2 Ć 5 Ć š^2 = 2 Ć 5 Ć a Ć a 15š^2 = 15 Ć š^2 = 3 Ć 5 Ć š^2 = 2 Ć 5 Ć b Ć b 20š^2 = 20 Ć š^2 = 2 Ć 2 Ć 5 Ć š^2 = 2 Ć 2 Ć 5 Ć c Ć c So, 5 is the common factor. 10š^2 ā 15š^2 + 20š^2 = (2 Ć 5 Ć a Ć a) ā (3 Ć 5 Ć b Ć b) + (2 Ć 2 Ć 5 Ć c Ć c) Taking 5 common = 5 Ć ((2 Ć a Ć a) ā (3 Ć b Ć b) + (2 Ć 2 Ć c Ć c)) = 5 Ć (2š^2 ā 3š^2 + 4š^2) = 5 (2š^š ā 3š^š + 4š^š) Ex 12.1, 2 (Method 2) Factorise the following expressions. (vii) 10 š^2 ā 15 š^2 + 20 š^2 10 š^2 ā 15 š^2 + 20 š^2 = (5 Ć 2) š^2 ā (5 Ć 3 ) š^2 + (5 Ć 4) š^2 Taking 5 common, = 5 (2š^š ā 3š^š + 4š^š)
