Ex 12.1, 2 (ix) - Chapter 12 Class 8 Factorisation

Last updated at April 16, 2024 by

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Ex 12.1, 2 (Method 1) Factorise the following expressions. (ix) 𝑥^2 y z + x 𝑦^2z + x y 𝑧^2𝑥^2 y z + x 𝑦^2z + x y 𝑧^2 = (𝑥 × 𝒙yz) + (y × 𝒙yz) + (z × 𝒙yz) Taking 𝒙yz common, = 𝒙yz (𝒙 + y + z) Ex 12.1, 2 (Method 2) Factorise the following expressions. (ix) 𝑥^2 y z + x 𝑦^2z + x y 𝑧^2 𝑥^2 y z 〖𝑥𝑦〗^2z 𝑥y𝑧^2 So, x, y and z are the common factors. 𝑥^2 y z + 𝑥𝑦^2z + 𝑥y𝑧^2 = (𝑥 × 𝑥 × y × z) + (𝑥 × y × y × z) + (𝑥 × y × z × z) Taking 𝒙 × y × z common, = 𝑥 × y × z × (𝑥 + y + z) = 𝒙yz (𝒙 + y + z) = 𝑥^2 × y × z = 𝑥 × 𝑦^2 × z = 𝑥 × y × 𝑧^2 = 𝒙 × 𝒙 × y × z = 𝒙 × y × y × z = 𝒙 × y × z × z

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.