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Ex 14.2, 5 (iii) - Factorise p^2 + 6p - 16 - Chapter 14 Class 8

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Ex 14.2, 5 Factorise the following expressions. (iii) 𝑝^2 + 6p – 16 𝑝^2 + 6p – 16 By middle term splitting = 𝑝^2 βˆ’2𝑝+8𝑝 βˆ’ 16 = (𝑝^2βˆ’2𝑝)+(8𝑝 βˆ’ 1"6") = p (p βˆ’ 2) + 8 (p βˆ’ 2) Taking (p βˆ’ 2) common = (p βˆ’ 2) (p + 8) Splitting the middle term We need to find two numbers whose Sum = 6 Product = βˆ’16 So, we write 6p = βˆ’2p + 8p

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