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Ex 12.3, 5 Factorise the expressions and divide them as directed. (v) 5pq(๐‘^2 โ€“ ๐‘ž^2) รท 2p(p + q)We first factorise 5pq (๐‘^2โˆ’๐‘ž^2 ) Using ๐’‚^๐Ÿ โˆ’ ๐’ƒ^๐Ÿ = (a + b) (a โˆ’ b) Here ๐‘Ž= p and b = q = 5pq (p + q) (p โˆ’ q) Dividing 5pq (๐‘^2โˆ’๐‘ž^2 )รท2๐‘ (๐‘+๐‘ž) = (5๐‘๐‘ž (๐‘^2 โˆ’ ๐‘ž^2))/(2๐‘ (๐‘ + ๐‘ž)) = (๐Ÿ“๐’‘๐’’ (๐’‘ + ๐’’) (๐’‘ โˆ’ ๐’’))/(๐Ÿ๐’‘ (๐’‘ + ๐’’)) = 5/2 ร— ๐‘/๐‘ ร— q ร— ((๐‘ + ๐‘ž))/((๐‘ + ๐‘ž)) ร— (p โˆ’ q) = 5/2 ร— q ร— (p โˆ’ q) = ๐Ÿ“/๐Ÿ q (p โˆ’ q)

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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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.