Ex 12.1, 1 (viii) - Chapter 12 Class 8 Factorisation

Last updated at Aug. 8, 2023 by Teachoo

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Ex 12.1, 1 Find the common factors of the given terms. (viii) 〖3𝑥〗^2 𝑦^3,〖10𝑥〗^3 𝑦^2, 6𝑥^2 𝑦^2 𝑧〖𝟑𝒙〗^𝟐 𝒚^𝟑 = 3 × 𝑥^2 × 𝑦^2 = 2 × 𝒙 × 𝒙 × 𝒚 × 𝒚 × 𝒚 〖𝟏𝟎𝒙〗^𝟑 𝒚^𝟐 = 10 × 𝑥^3 × 𝑦^2 = 2 × 5 × 𝑥^3 × 𝑦^2 = 2 × 5 × 𝒙 × 𝒙 × 𝒙 × 𝒚 × 𝒚 𝟔𝒙^𝟐 𝒚^𝟐 𝒛 = 6 × 𝑥^2 × 𝑦^2 × 𝑧 = 2 × 3 × 𝑥^2 × 𝑦^2 × 𝑧 = 2 × 3 × 𝒙 × 𝒙 × 𝒚 × 𝒚 × 𝒛 So, 〖𝟑𝒙〗^𝟐 𝒚^𝟑 = 3 × 𝑥 × 𝑥 × 𝑦 × 𝑦 × 𝑦 〖𝟏𝟎𝒙〗^𝟑 𝒚^𝟐 = 2 × 5 × 𝑥 × 𝑥 × 𝑥 × 𝑦 × 𝑦 𝟔𝒙^𝟐 𝒚^𝟐 𝒛 = 2 × 3 × 𝑥 × 𝑥 × 𝑦 × 𝑦 × 𝑧 So, Common factor = 𝑥 × 𝑥 × 𝑦 × 𝑦 = (𝑥 × 𝑥) × (𝑦 × 𝑦) = 𝑥^2 × 𝑦^2 = 𝒙^𝟐 𝒚^𝟐

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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