Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Factorise the following: 6x2 + 16xy + 8y2 - Mathematics

Sum

Factorise the following:

6x2 + 16xy + 8y2

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Solution

Product = 6 × 8 = 48, sum = 16

Split the middle term as 4xy and 12xy

6x2 + 16xy + 8y2 = 6x2 + 12xy + 4xy + 8y2

= 6x(x + 2y) + 4y(x + 2y)

= (x + 2y)(6x + 4y)

= 2(x + 2y)(3x + 2y)

Concept: Factorising the Quadratic Polynomial (Trinomial) of the type ax2 + bx + c, a ≠ 0.
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Chapter 3: Algebra - Exercise 3.6 [Page 107]
Q 2. (iv)
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Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 3 Algebra
Exercise 3.6 | Q 2. (iv) | Page 107
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