Factorise: (3x - 2y)2 - 5(3x - 2y) - 24

factorise: (3x - 2y)² - 5(3x - 2y) - 24

Sum

(3x - 2y)² - 5(3x - 2y) - 24

= (3x - 2y)² - 8(3x - 2y) + 3(3x - 2y) - 24

= (3x - 2y) (3x - 2y - 8) + 3 (3x - 2y - 8)

= (3x - 2y - 8)(3x - 2y + 3)

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Factorisation by Grouping

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Chapter 13: Factorisation - Exercise 13 (F) [Page 163]

Chapter 13 Factorisation
Exercise 13 (F) | Q 4.8 | Page 163

Factorise : a² + ax + ab + bx

Factorise : ab - 2b + a² - 2a

Factorise : (a² − b²) c + (b² − c²)a

factorise: 4 + y - 14y²

factorise: x(3x + 14) + 8

factorise: 1 - 3x - 3y - 4(x + y)²

Factorise the following by grouping the terms:
15xy - 9x - 25y + 15

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

Factorise the following by grouping the terms:
x + y + m(x + y)

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