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Factorise the following: 9x2 – 12x + 3 - Mathematics

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Question

Factorise the following:

9x2 – 12x + 3

Sum

Solution

9x2 – 12x + 3 = 3(3x2 – 4x + 1)  ...[Taking 3 common factor]

= 3(3x2 – 3x – x + 1)   ...[By splitting middle term]

= 3[3x(x – 1) – 1(x – 1)]

= 3(3x – 1)(x – 1)

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Factorisation of Polynomials
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Chapter 2: Polynomials - Exercise 2.3 [Page 21]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 2 Polynomials
Exercise 2.3 | Q 27. (i) | Page 21
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