Ex 12.2, 2 (vii) - Factorise (x^2 - 2xy + y^2) - z^2 - Ex 12.2 - Ex 12.2

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Ex 12.2, 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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