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Example 19 - Chapter 2 Class 9 Polynomials
Last updated at Dec. 13, 2024 by Teachoo
Chapter 2 Class 9 Polynomials
Concept wise
- Definition
- Degree & Coefficient of a polynomial
- Value of a polynomial at a given point
- Verifying Zeroes of a polynomial
- Finding Zeroes of a polynomial
- Remainder Theoram
- Check if factor
- Factorisation by middle term
- Factorisation by factor formula
- Factorizing cubic equation
- Identity I - IV
- Identity V
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Identity VI & VII
- Identity VIII
Transcript
Example 19 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)
