Ex 12.1, 2 (vi) - Chapter 12 Class 8 Factorisation
Last updated at July 18, 2026 by Teachoo
Factorisation using common factors
Factorization by common factors
You are here
You are here
Transcript
Ex 12.1, 2 (Method 1) Factorise the following expressions. (vi) 5 š„^2 y ā 15 ćš„š¦ć^25 š„^2y ā 15 ćš„š¦ć^2 = 5 š„^2y ā 5 Ć 3 Ć ćš„š¦ć^2 Taking 5 common = 5 (š„^2y ā 3ćš„š¦ć^2) = 5 ((šš Ć š„) ā (šš Ć 3y)) Taking xy common, = 5šy (š ā 3y) Ex 12.1, 2 (Method 2) Factorise the following expressions. (vi) 5 š„^2 y ā 15 ćš„š¦ć^25 š^š y = 5 Ć š„ Ć š„ Ć y 15 šš²^š = 15 Ć š„ Ć š¦^2 = 3 Ć 5 Ć š„ Ć š¦^2 = 3 Ć 5 Ć š Ć š Ć š So, 5 š„^2 y = 5 Ć š„ Ć š„ Ć y 15š„^2 y = 3 Ć 5 Ć š„ Ć š„ Ć y So, 5, š and y are the common factors. Now, 5 š„^2y ā 15 ćš„š¦ć^2 = (5 Ć š„ Ć š„ Ć y) ā (3 Ć 5 Ć š„ Ć y Ć y) Taking 5 Ć š Ć y common = 5 Ć š„ Ć y (š„ ā (3 Ć y)) = 5xy (x ā 3y)
