Ex 12.3, 5 (v) - Chapter 12 Class 8 Factorisation

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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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