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Ex 14.1, 2 (ix) - Chapter 14 Class 8 Factorisation
Last updated at March 23, 2023 by Teachoo
Ex 14.1
Ex 14.1, 1 (i)
Ex 14.1, 1 (ii)
Ex 14.1, 1 (iii) Important
Ex 14.1, 1 (iv) Important
Ex 14.1, 1 (v)
Ex 14.1, 1 (vi) Important
Ex 14.1, 1 (vii)
Ex 14.1, 1 (viii) Important
Ex 14.1, 2 (i)
Ex 14.1, 2 (ii) Important
Ex 14.1, 2 (iii)
Ex 14.1, 2 (iv) Important
Ex 14.1, 2 (v)
Ex 14.1, 2 (vi)
Ex 14.1, 2 (vii)
Ex 14.1, 2 (viii) Important
Ex 14.1, 2 (ix) You are here
Ex 14.1, 2 (x) Important
Ex 14.1, 3 (i)
Ex 14.1, 3 (ii) Important
Ex 14.1, 3 (iii)
Ex 14.1, 3 (iv) Important
Ex 14.1, 3 (v) Important
Transcript
Ex 14.1, 2 (Method 1) Factorise the following expressions. (ix) 𝑥^2 y z + x 𝑦^2z + x y 𝑧^2 𝑥^2 y z = 𝑥^2 × y × z = 𝑥 × 𝑥 × y × z 𝑥𝑦^2z = 𝑥 × 𝑦^2 × z = 𝑥 × y × y × z 𝑥y𝑧^2 = 𝑥 × y × 𝑧^2 = 𝑥 × y × z × z 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) Ex 14.1, 2 (Method 2) Factorise the following expressions. (ix) 𝑥^2 y z + x 𝑦^2z + x y 𝑧^2 𝑥^2 y z + x 𝑦^2z + x y 𝑧^2 = (𝑥 × 𝑥yz) + (y × 𝑥yz) + (z × 𝑥yz) Taking 𝑥yz common, = 𝒙yz (𝒙 + y + z)
