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

  1. Chapter 2 Class 9 Polynomials
  2. Serial order wise
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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.