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Factorise: x2 - y2 - 2yz - z2 - Mathematics

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Question

Factorise: x2 - y2 - 2yz - z2 

Sum

Solution

x2 - y2 - 2yz - z2 

= x2 - (y2 + 2yz + z2)

= x2 - (y + z)2

= (x + y + z) {x - (y + z)}

= (x + y + z) (x - y - z)

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Factorisation of Trinomials
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Chapter 13: Factorisation - Exercise 13 (F) [Page 163]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 13 Factorisation
Exercise 13 (F) | Q 6.6 | Page 163
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