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Ex 14.3, 5 (v) - Factorise and divide 5pq(p^2- q^2) รท 2p(p + q)

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

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Ex 14.3, 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‘Ž^2 โˆ’ ๐‘^2 = (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)) = (5๐‘๐‘ž (๐‘ + ๐‘ž) (๐‘ โˆ’ ๐‘ž))/(2๐‘ (๐‘ + ๐‘ž)) = 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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