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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Factorise the following: (a + b)2 + 9(a + b) + 18 - Mathematics

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Question

Factorise the following:

(a + b)2 + 9(a + b) + 18

Sum
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Solution

Let (a + b) = x

x2 + 9x + 18

Product = 18, sum = 9

Split the middle term as 6x and 3x

x2 + 9x + 18 = x2 + 6x + 3x + 18

= x(x + 6) + 3(x + 6)

= (x + 6)(x + 3)

But x = a + b

(a + b)2 + 9(a + b) + 18 = (a + b + 6)(a + b + 3)

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Chapter 3: Algebra - Exercise 3.6 [Page 107]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 3 Algebra
Exercise 3.6 | Q 2. (vi) | Page 107
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