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Factorise the given expression. p2 + 6p − 16 - Mathematics

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Question

Factorise the given expression.

p2 + 6p − 16

Sum

Solution

p2 + 6p − 16

This is on advanced type

= p2 + (8 − 2) p − 8 × 2

= p2 + 8p − 2p − 8 × 2

= p2 + 8p − 2p − 16

On taking the common

= p (p + 8) − 2 (p + 8)

Hence, factorization

= (p + 8) (p − 2)

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Chapter 14: Factorisation - Exercise 14.2 [Page 224]

APPEARS IN

NCERT Mathematics [English] Class 8
Chapter 14 Factorisation
Exercise 14.2 | Q 5.3 | Page 224

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