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Factorise : 2(X + 2y)2 - 5(X + 2y) + 2 - Mathematics

Sum

Factorise : 2(x + 2y)2 - 5(x + 2y) + 2

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Solution

2(x + 2y)2 - 5(x + 2y) + 2

Let x + 2y = a, then

2a2 - 5a + 2

⇒ 2a2 - a - 4a + 2

= a(2a - 1) - 2(2a - 1)

= (2a - 1)(a - 2)

= {2(x + 2y - 1)} {(x + 2y) - 2}

= (2x + 4y - 2)(x + 2y - 2)   
...[∵ 2 × 2 = 4]
  [-5 = -1-4]
  [4 = (-1) × (-4)] 

Concept: Factorisation by Grouping
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 13 Factorisation
Exercise 13 (D) | Q 25 | Page 161
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