Factorise: 2x2 + Xy - 6y2 - Mathematics

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 : a² + b - ab - a

Factorise : 3x⁵ - 6x⁴ - 2x³ + 4x² + x - 2

Factorise : a³ - a² - ab + a + b - 1

factorise: 14x² + x - 3

factorise: x²y² - 3xy - 40

factorise: 15(5x - 4)² - 10(5x - 4)

Factorise the following by grouping the terms:
4abx² + 49aby² + 14xy(a² + b²)

Factorise the following by grouping the terms:
9x³ + 6x²y² - 4y³ - 6xy

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

Factorise the following by grouping the terms:
2p(a² - 2b²) -14p + (a² - 2b²)² - 7(a² - 2b²)