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

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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