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Factorise the following expression. p2 + 6p + 8 - Mathematics

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Question

Factorise the following expression.

p2 + 6p + 8

Sum

Solution

p2 + 6p + 8

It can be observed that 8 = 4 × 2 and 4 + 2 = 6

= p2 + (4 + 2) p + 4 × 2

= p2 + 4p + 2p + 4 × 2

= p (p + 4) + 2 (p + 4)

= (p + 4) (p + 2)

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Chapter 14: Factorisation - Exercise 14.2 [Page 224]

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NCERT Mathematics [English] Class 8
Chapter 14 Factorisation
Exercise 14.2 | Q 5.1 | Page 224

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