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Example 24 - Factorize  8x3 + 27y3 + 36x2y + 54xy2 - Examples

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Example 24 Factorize 8x3 + 27y3 + 36x2y + 54xy2 8x3 + 27y3 + 36x2y + 54xy2 = (2x)3 + (3y)3 + 36x2y + 54xy2 = (2x)3 + (3y)3 + 18xy(2x + 3y) = (2x)3 + (3y)3 + 3(2x) (3y) (2x + 3y) Using (a + b)3 = a3 + b3 + 3ab(a + b) Putting a = 2x , b = 3y = (2x + 3y)3 = (2x + 3y)(2x + 3y)(2x + 3y)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.