Ex 12.2, 4 (ii) - Chapter 12 Class 8 Factorisation

Last updated at July 18, 2026 by Teachoo

Ex 12.2, 4 (ii) - Factorise p^4 - 81 - Chapter 14 NCERT Solutions - Ex 12.2

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Ex 12.2, 4 Factorise. (ii) 𝑝^4 – 81𝑝^4 – 81 = (𝑝^2 )^2 − (9)^2 Using 𝒂^𝟐 − 𝒃^𝟐 = (a + b) (a − b) Here 𝑎=𝑝^2 and b = 9 = (𝑝^2+9) (𝑝^2−9) = (𝑝^2+9) (𝑝^2−3^2) Again Using 𝒂^𝟐 − 𝒃^𝟐 = (a + b) (a − b) Here 𝑎 = p and b = 3 = (𝑝^2+9) (𝑝+3) (𝑝−3) = (𝒑 − 𝟑) (𝒑+𝟑) (𝒑^𝟐+ 𝟗)

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