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

Last updated at Dec. 26, 2018 by Teachoo

Ex 14.3, 2 (v) - Divide (p^3q^6 - p^6q^3) ÷ p^3q^3 - Poly by Mono

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

Next: Ex 14.3, 3 (i) →

Transcript

Ex 14.3, 2 (Method 1) Divide the given polynomial by the given monomial. (v) (𝑝^3 𝑞^6 – 𝑝^6 𝑞^3) ÷ 𝑝^3 𝑞^3 𝑝^3 𝑞^6 – 𝑝^6 𝑞^3 = (𝑝^3 𝑞^3 × 𝑞^3) − (𝑝^3 𝑞^3 × 𝑝^3) Taking 𝑝^3 𝑞^3common, = 𝑝^3 𝑞^3(𝑞^3−𝑝^3) Dividing (𝑝^3 𝑞^6 " " −〖 𝑝〗^6 𝑞^3)/(𝑝^3 𝑞^3 ) = (𝑝^3 𝑞^3 (𝑞^3−𝑝^3))/(𝑝^3 𝑞^3 ) = 𝒒^𝟑−𝒑^𝟑 Ex 14.3, 2 (Method 2) Divide the given polynomial by the given monomial. (v) (𝑝^3 𝑞^6 – 𝑝^6 𝑞^3) ÷ 𝑝^3 𝑞^3 (𝑝^3 𝑞^6 " " −〖 𝑝〗^6 𝑞^3)/(𝑝^3 𝑞^3 ) = (𝑝^3 𝑞^6 )/(𝑝^3 𝑞^3 ) − (𝑝^6 𝑞^3)/(𝑝^3 𝑞^3 ) = 𝑞^6/𝑞^3 −𝑝^6/𝑝^3 = 𝑞^(6 − 3) − 𝑝^(6 − 3) = 𝒒^𝟑−𝒑^𝟑 ("As" 𝑎^𝑚/𝑎^𝑛 =𝑎^(𝑚 − n) )

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.

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