Ex 12.2, 4 (iv) - Chapter 12 Class 8 Factorisation

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Ex 12.2, 4 Factorise. (iv) 𝑥^4 – 〖"(x – z)" 〗^4𝑥^4 – 〖"(x – z)" 〗^4 = 〖(𝑥^2)〗^2 − [(𝑥 − z)^2 ]^2 Using 𝒂^𝟐 − 𝒃^𝟐 = (a + b) (a − b) Here 𝑎=𝑥^2 and b = (𝑥 − z)^2 = [𝑥^2+(𝑥 − z)^2 ] [𝑥^2 −(𝑥 − z)^2] Using 𝒂^𝟐 − 𝒃^𝟐 = (a + b) (a − b) Here 𝑎=𝑥 and b = (𝑥 − z) = [𝑥^2+(𝑥 − z)^2 ] [𝑥+(𝑥 − z)] [𝑥 − (𝑥 − z)] = [𝑥^2+(𝑥 − z)^2 ] [𝑥+ 𝑥 − z] [𝑥 −𝑥+𝑧] = [𝑥^2+(𝑥 − z)^2 ] [2𝑥− z] [𝑧] = [𝒙^𝟐+(𝒙^𝟐+𝒛^𝟐 − 𝟐𝒙𝒛)][𝟐𝒙− 𝒛] [𝒛] = [𝑥^2+𝑥^2+𝑧^2 − 2𝑥𝑧][2𝑥− z] [𝑧] = [〖2𝑥〗^2+𝑧^2 − 2𝑥𝑧][2𝑥− z] [𝑧] = 𝐳 (𝟐𝒙−𝒛) (𝟐𝒙^𝟐+𝒛^𝟐 − 𝟐𝒙𝒛) Using 𝒂^𝟐 − 𝒃^𝟐 = 𝑎^2+𝑏^2 − 2ab Here 𝑎=𝑥 and b = 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 and Computer Science at Teachoo