Ex 12.3, 5 (vi) - Factorise and divide 12xy(9x2 - 16y2) รท 4xy(3x+4y) - Ex 12.3

part 2 - Ex 12.3, 5 (vi) - Ex 12.3 - Serial order wise - Chapter 12 Class 8 Factorisation

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Ex 12.3, 5 Factorise the expressions and divide them as directed. (vi) 12xy(9๐‘ฅ^2 โ€“ 16๐‘ฆ^2) รท 4xy(3x + 4y)We first factorise 12xy (ใ€–9๐‘ฅใ€—^2โˆ’16๐‘ฆ^2) = 12xy [(ใ€–3๐‘ฅใ€—^2) โˆ’ (ใ€–4๐‘ฆใ€—^2)] Using ๐’‚^๐Ÿ โˆ’ ๐’ƒ^๐Ÿ = (a + b) (a โˆ’ b) Here ๐‘Ž= 3x and b = 4y = 12xy (3x + 4y) (3x โˆ’ 4) Dividing 12xy (ใ€–9๐‘ฅใ€—^2โˆ’16๐‘ฆ^2) รท 4xy (3x + 4y) = (12๐‘ฅ๐‘ฆ (9๐‘ฅ^2 โˆ’ 16๐‘ฆ^2))/(4๐‘ฅ๐‘ฆ (3๐‘ฅ + 4๐‘ฆ)) = (๐Ÿ๐Ÿ๐’™๐’š (๐Ÿ‘๐’™ + ๐Ÿ’๐’š) (๐Ÿ‘๐’™ โˆ’ ๐Ÿ’๐’š))/(๐Ÿ’๐’™๐’š (๐Ÿ‘๐’™ + ๐Ÿ’๐’š)) = 12/4 ร— ๐‘ฅ๐‘ฆ/๐‘ฅ๐‘ฆ ร— ((3๐‘ฅ + 4๐‘ฆ))/((3๐‘ฅ + 4๐‘ฆ)) ร— (3x โˆ’ 4y) = 3 (3x โˆ’ 4y)

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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