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Ex 12.3, 5 Factorise the expressions and divide them as directed. (iii) (5๐‘^2 โ€“ 25p + 20) รท (p โ€“ 1)We first factorise ใ€–๐Ÿ“๐’‘ใ€—^๐Ÿ โˆ’ 25p + 20 Taking 5 common, = 5 (๐‘^2โˆ’5๐‘+4) By middle term splitting, = 5 (๐‘^2โˆ’๐’‘โˆ’๐Ÿ’๐’‘+4) = 5 [(๐‘^2โˆ’ p) โˆ’ (4p โˆ’ 4)] = 5 [p(p โˆ’ 1) โˆ’ 4 (p โˆ’ 1)] Taking (p โˆ’ 1) common, = 5 (p โˆ’ 1)(p โˆ’ 4) Splitting the middle term We need to find two numbers whose Sum = โˆ’5 Product = 4 So, we write โˆ’5p = โˆ’p โˆ’ 4p Dividing (ใ€–5๐‘ใ€—^2โˆ’25๐‘+20)รท(๐‘+1) = (ใ€–5๐‘ใ€—^2 โˆ’ 25๐‘ + 20)/((๐‘ โˆ’1)) = (๐Ÿ“ (๐’‘ โˆ’๐Ÿ) (๐’‘โˆ’๐Ÿ’))/((๐’‘ โˆ’๐Ÿ)) = 5 ร— ((๐‘ โˆ’ 1) )/((๐‘ โˆ’ 1)) ร— (p โˆ’ 4) = 5 (p โˆ’ 4)

  1. Chapter 12 Class 8 Factorisation
  2. Serial order wise

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo