Ex 12.3, 2 (v) - Chapter 12 Class 8 Factorisation

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Ex 12.3, 2 (Method 1) Divide the given polynomial by the given monomial. (v) (𝑝^3 𝑞^6 – 𝑝^6 𝑞^3) ÷ 𝑝^3 𝑞^3𝑝^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 12.3, 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