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Ex 14.3, 5 (vi) - Factorise and divide 12xy(9x2 - 16y2) รท 4xy(3x+4y)

Ex 14.3, 5 (vi) - Chapter 14 Class 8 Factorisation - Part 2

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Ex 14.3, 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)] We first factorise 12xy (ใ€–9๐‘ฅใ€—^2โˆ’16๐‘ฆ^2) = 12xy [(ใ€–3๐‘ฅใ€—^2) โˆ’ (ใ€–4๐‘ฆใ€—^2)] Using ๐‘Ž^2 โˆ’ ๐‘^2 = (a + b) (a โˆ’ b) Here ๐‘Ž= 3x and b = 4y Using ๐‘Ž^2 โˆ’ ๐‘^2 = (a + b) (a โˆ’ b) Here ๐‘Ž= 3x and b = 4y = (12๐‘ฅ๐‘ฆ (9๐‘ฅ^2 โˆ’ 16๐‘ฆ^2))/(4๐‘ฅ๐‘ฆ (3๐‘ฅ + 4๐‘ฆ)) = (12๐‘ฅ๐‘ฆ (3๐‘ฅ + 4๐‘ฆ) (3๐‘ฅ โˆ’ 4๐‘ฆ))/(4๐‘ฅ๐‘ฆ (3๐‘ฅ + 4๐‘ฆ)) = 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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