Factorise: 2x2 + Xy - 6y2

factorise: 2x² + xy - 6y²

Sum

2x² + xy - 6y²

= 2x² + 4xy - 3xy - 6y²

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

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

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Factorisation by Grouping

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Chapter 13: Factorisation - Exercise 13 (D) [Page 161]

Chapter 13 Factorisation
Exercise 13 (D) | Q 14 | Page 161

Factorise by the grouping method:

ab (x² + 1) + x (a² + b²)

Factorise using the grouping method :
x (6x - 5y) - 4 (6x - 5y)²

Factorise : a(b − c) − d(c − b)

factorise: 5 + 7x - 6x²

factorise: 5 + 3a - 14a²

factorise: (2a + b)² + 5(2a + b) + 6

factorise: 8 + 6(a + b) - 5(a + b)²

Factorise the following by grouping the terms:
9 + 3xy + x²y + 3x

Factorise the following by grouping the terms:
xy(a² + 1) + a(x² + y²)

Factorise the following by grouping the terms:
p²x² + (px² + 1)x + p