Ex 12.3, 3 (iv) - Chapter 12 Class 8 Factorisation

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Ex 12.3, 3 Work out the following divisions. (iv) 9๐‘ฅ^2 ๐‘ฆ^2(3z โ€“ 24) รท 27xy(z โ€“ 8)We first factorise ใ€–9๐‘ฅใ€—^2 ๐‘ฆ^2 (3z โˆ’ 24) = ใ€–9๐‘ฅใ€—^2 ๐‘ฆ^2 ร— [3z โˆ’ (3 ร— 8)] Taking 3 common, = ใ€–9๐‘ฅใ€—^2 ๐‘ฆ^2 ร— 3 (z โˆ’ 8) = 27 ๐’™^๐Ÿ ๐’š^๐Ÿ (z โˆ’ 8) Dividing, (9๐‘ฅ^2 ๐‘ฆ^2 (3๐‘ง โˆ’ 24))/(27๐‘ฅ๐‘ฆ (๐‘ง โˆ’ 8)) = (27๐‘ฅ^2 ๐‘ฆ^2 (๐‘ง โˆ’ 8))/(27๐‘ฅ๐‘ฆ (๐‘ง โˆ’ 8)) = 27/27 ร— ๐‘ฅ^2/๐‘ฅ ร— ๐‘ฆ^2/๐‘ฆ ร— ((๐‘ง โˆ’ 8))/((๐‘ง โˆ’ 8)) = 1 ร— x ร— y ร— 1 = xy

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