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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 −2𝑝+8𝑝 − 16 = (𝑝^2−2𝑝)+(8𝑝 − 1"6") = p (p − 2) + 8 (p − 2) Taking (p − 2) common = (p − 2) (p + 8) Splitting the middle term We need to find two numbers whose Sum = 6 Product = −16 So, we write 6p = −2p + 8p

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