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Example 24 - Chapter 2 Class 9 Polynomials (Term 2)
Last updated at March 16, 2023 by Teachoo
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Transcript
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)
