Ex 12.2, 5 (i) - Chapter 12 Class 8 Factorisation

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Ex 12.2, 5 Factorise the following expressions. (i) 𝑝^2 + 6p + 8𝑝^2 + 6p + 8 By middle term splitting = 𝑝^2+𝟐𝒑+ 𝟒𝒑+8 = (𝑝^2+2𝑝)+(4𝑝+8) = p (p + 2) + 4 (p − 2) Taking (p + 2) common, = (p + 2) (p + 4) Splitting the middle term We need to find two numbers whose Sum = 6 Product = 8 So, we write 6p = 2p + 4p

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