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Ex 14.2, 2 (vii) - Factorise (x^2 - 2xy + y^2) - z^2 - Ex 14.2


Transcript

Ex 14.2, 2 Factorise. (vii) (𝑥^2 – 2xy + 𝑦^2) – 𝑧^2 (𝑥^2 – 2xy + 𝑦^2) – 𝑧^2 = (𝑥^2+𝑦^2 − 2𝑥y) – 𝑧^2 Using (𝑎 − 𝑏)^2=𝑎^2 + 𝑏^2 − 2ab Here a = 𝑥 and b = 𝑦 = (𝑥−y)^2 – 𝑧^2 Using 𝑎^2 + 𝑏^2 = (a + b) (a − b) Here a = 𝑥 − y and b = z = (𝒙 − y + z) (𝒙 − y − z)

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.