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Ex 14.3, 5 (i) - Factorise and divide (y^2 + 7y + 10) Γ· (y + 5)

Ex 14.3, 5 (i) - Chapter 14 Class 8 Factorisation - Part 2

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Ex 14.3, 5 Factorise the expressions and divide them as directed. (i) (𝑦^2 + 7y + 10) Γ· (y + 5) We first factorise 𝑦^2+7𝑦+10 By middle term splitting, 𝑦^2 + 7y +10 = 𝑦^2 + 2y + 5y + 10 = (𝑦^2+2𝑦) + (5𝑦+10) = y (y + 2) + 5 (y + 2) Taking (y + 2) common, = (y + 2) (y + 5) Splitting the middle term We need to find two numbers whose Sum = 7 Product = 10 So, we write 7y = 2y + 5y Now, Dividing (𝑦^2+7𝑦+10)Γ·(𝑦+5) = (𝑦^2 + 7𝑦 + 10)/((𝑦 + 5)) = ((𝑦 + 2) (𝑦 + 5))/((𝑦 + 5)) = (𝑦 + 2) Γ— ((𝑦 + 5))/((𝑦 + 5)) = (π’š + 2)

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