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Factorise Completely: X2 + 6xy + 9y2 + X + 3y - Mathematics

Sum

Factorise completely: x2 + 6xy + 9y2 + x + 3y 

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Solution

x2 + 6xy + 9y2 + x + 3y 

= [(x)2 + 2 × x × 3y + (3y)2] + (x + 3y) 

= [x + 3y]2 + (x + 3y) 

= (x + 3y) (x + 3y) + (x + 3y)

= (x + 3y) (x + 3y + 1)

Concept: Factorising Completely
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 13 Factorisation
Exercise 13 (E) | Q 17 | Page 162
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