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Ex 12.1, 2 (v) - Chapter 12 Class 8 Factorisation

Last updated at May 29, 2023 by

Ex 14.1, 2 (v) - Factorise 20 l^2 m + 30 a l m - Chapter 14 Class 8

Ex 14.1, 2 (v) - Chapter 14 Class 8 Factorisation - Part 2
Ex 14.1, 2 (v) - Chapter 14 Class 8 Factorisation - Part 3

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Ex 12.1, 2 (Method 1) Factorise the following expressions. (v) 20 𝑙^2 m + 30 a l m 20 𝑙^2 m = 20 Γ— 𝑙^2 Γ— m = 2 Γ— 2 Γ— 5 Γ— 𝑙^2 Γ— m = 2 Γ— 2 Γ— 5 Γ— l Γ— l Γ— m 30 alm = 30 Γ— a Γ— l Γ— m = 2 Γ— 3 Γ— 5 Γ— a Γ— l Γ— m So, 20 𝑙^2m = 2 Γ— 2 Γ— 5 Γ— l Γ— l Γ— m 30 alm = 2 Γ— 3 Γ— 5 Γ— a Γ— l Γ— m So, 2, 5, l and m are the common factors. Now, 20 𝑙^2m + 30 alm = (2 Γ— 2 Γ— 5 Γ— l Γ— l Γ— m) + (2 Γ— 3 Γ— 5 Γ— a Γ— l Γ— m) Taking 2 Γ— 5 Γ— l Γ— m common = 2 Γ— 5 Γ— l Γ— m (2 Γ— l + 3 Γ— a) = 10lm(2l + 3a) Ex 12.1, 2 (Method 2) Factorise the following expressions. (v) 20 𝑙^2 m + 30 a l m 20 𝑙^2 m + 30 a l m = (10 Γ— 2) 𝑙^2 m + (10 Γ— 3) alm Taking 10 common, = 10 Γ— (2𝑙^2m + 3 alm) = 10 Γ— ((2l Γ— lm) + (3a Γ— lm)) Taking lm common, = 10 Γ— lm (2l + 3a) = 10lm (2l + 3a)

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