Factorise: B(C - D)2 + A(D - C) + 3(C - D)

factorise: b(c - d)² + a(d - c) + 3(c - d)

Sum

b(c - d)² + a(d - c) + 3(c - d)

= b (c - d)² - a(c - d) + 3(c - d)

= (c - d) [b (c - d) - a + 3]

= (c - d) (bc - bd - a + 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 5.3 | Page 163

Factorise by the grouping method : a² + b - ab - a

Factorise by the grouping method : a²x² + (ax² + 1) x + a

Factorise : x² - (a - 3)x - 3a

factorise: a² − 3a − 40

Factorise: 7b² - 8b + 1

factorise: 14x² + x - 3

factorise: 15(5x - 4)² - 10(5x - 4)

Factorise the following by grouping the terms:
3ax² - 5bx² + 9az² + 6ay² - 10by² - 15bz²

Factorise the following by grouping the terms:
2a + b + 3c - d + (2a + b)³ + (2a + b)²(3c - d)

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