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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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Ex 12.3, 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’›^๐Ÿ+๐Ÿ”๐’›โˆ’๐Ÿ๐Ÿ”) By middle term splitting, = 4yz (๐‘ง^2โˆ’๐Ÿ๐’›+๐Ÿ–๐’›โˆ’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)) = (๐Ÿ’๐’š๐’› (๐’› โˆ’๐Ÿ) (๐’› + ๐Ÿ–))/(๐Ÿ๐’š (๐’› + ๐Ÿ–)) = 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.