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Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2. 9x2 + 30x + 25 - Mathematics

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Question

Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2

9x2 + 30x + 25

Sum

Solution

We have,

9x2 + 30x + 25

= (3x)2 + 2 · 3x · 5 + 52

= (3x + 5)2

= (3x + 5)(3x + 5)

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 234]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 89. (xii) | Page 234

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