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Factorise: 1 + 64x3 - Mathematics

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Question

Factorise:

1 + 64x3 

Sum

Solution

1 + 64x3 = (1)3 + (4x)3

= (1 + 4x)[(1)2 – (1)(4x) + (4x)2]   ...[Using identity, a3 – b3 = (a + b)(a2 – ab + b2)]

= (1 + 4x)(1 – 4x + 16x2)

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Factorisation of Polynomials
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Chapter 2: Polynomials - Exercise 2.3 [Page 22]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 2 Polynomials
Exercise 2.3 | Q 34. (i) | Page 22
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