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Ex 14.3, 5 (v) - Factorise and divide 5pq(p^2- q^2) Γ· 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(𝑝^2 – π‘ž^2) Γ· 2p(p + q) We first factorise 5pq (𝑝^2βˆ’π‘ž^2 ) Using π‘Ž^2 βˆ’ 𝑏^2 = (a + b) (a βˆ’ b) Here π‘Ž= p and b = q = 5pq (p + q) (p βˆ’ q) Dividing 5pq (𝑝^2βˆ’π‘ž^2 )Γ·2𝑝 (𝑝+π‘ž) = (5π‘π‘ž (𝑝^2 βˆ’ π‘ž^2))/(2𝑝 (𝑝 + π‘ž)) = (5π‘π‘ž (𝑝 + π‘ž) (𝑝 βˆ’ π‘ž))/(2𝑝 (𝑝 + π‘ž)) = 5/2 Γ— 𝑝/𝑝 Γ— q Γ— ((𝑝 + π‘ž))/((𝑝 + π‘ž)) Γ— (p βˆ’ q) = 5/2 Γ— q Γ— (p βˆ’ q) = πŸ“/𝟐 q (p βˆ’ q)

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