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Ex 14.2, 3 (iv) - Factorise am^2 + bm^2 + bn^2 + an^2 - Ex 14.2

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Ex 14.2, 3 Factorise the expressions. (iv) 〖𝑎𝑚〗^2 + 〖𝑏𝑚〗^2 + 〖𝑏𝑛〗^2 + 〖𝑎𝑛〗^2 〖𝑎𝑚〗^2 + 〖𝑏𝑚〗^2 + 〖𝑎𝑛〗^2 + 〖𝑏𝑛〗^2 = (〖𝑎𝑚〗^2 + 〖𝑏𝑚〗^2) + (〖𝑎𝑛〗^2 + 〖𝑏𝑛〗^2) Both have 𝑚^2 as common factor Both have 𝑛^2 as common factor = 𝑚^2 (𝑎+𝑏)+𝑛^2 (𝑎+𝑏) Taking (a + b) common, = (a + b) (𝒎^𝟐 + 𝒏^𝟐)

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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.