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Factorize using the grouping method: x2 + y2 + x + y + 2xy - Mathematics

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Question

Factorize using the grouping method:

x2 + y2 + x + y + 2xy

Sum

Solution

x2 + y2 + x + y + 2xy

= (x2 + y2 + 2xy) + (x + y)     ...[As (x + y)2 = x+ 2xy + y2]

= (x + y)+ (x + y)

= (x + y)(x + y + 1)

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Factorisation by Grouping
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Chapter 5: Factorisation - Exercise 5 (A) [Page 69]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 5 Factorisation
Exercise 5 (A) | Q 17 | Page 69
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