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  1. Chapter 14 Class 8 Factorisation
  2. Serial order wise

Transcript

Ex 14.3, 5 Factorise the expressions and divide them as directed. (iv) 4yz(๐‘ง^2 + 6z โ€“ 16) รท 2y(z + 8) We first factorise 4yz (๐‘ง^2+6๐‘งโˆ’16) By middle term splitting, = 4yz (๐‘ง^2โˆ’2๐‘ง+8๐‘งโˆ’16) = 4yz [(๐‘ง^2โˆ’2๐‘ง)+(8๐‘งโˆ’16)] = 4yz [z (z โˆ’ 2) + 8 (z โˆ’ 2)] Taking (z โˆ’ 2) common, = 4yz (z โˆ’ 2) (z + 8) Splitting the middle term We need to find two numbers whose Sum = 6 Product = โˆ’16 So, we write 6z = โˆ’2z + 8z Dividing 4yz (๐‘ง^2+6๐‘งโˆ’16)รท2๐‘ฆ (๐‘ง+8) = (4๐‘ฆ๐‘ง (๐‘ง^2 + 6๐‘ง โˆ’ 16))/(2๐‘ฆ (๐‘ง + 8)) = (4๐‘ฆ๐‘ง (๐‘ง โˆ’2) (๐‘ง + 8))/(2๐‘ฆ (๐‘ง + 8)) = 4/2 ร— ๐‘ฆ/๐‘ฆ ร— z ร— (z โˆ’ 2) ร— ((๐‘ง + 8))/((๐‘ง + 8)) = 2 ร— z ร— (z โˆ’ 2) = 2z (๐’› โˆ’ 2)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.