Factorise the following: 6x2 + 16xy + 8y2 - Mathematics

Factorise the following:

6x² + 16xy + 8y²

Sum

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)

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Chapter 3: Algebra - Exercise 3.6 [Page 107]

Chapter 3 Algebra
Exercise 3.6 | Q 2. (iv) | Page 107

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