Factorise : A3 - A2 - Ab + a + B - 1

Factorise : a³ - a² - ab + a + b - 1

Sum

a³ - a² - ab + a + b - 1

= a³ - a² - ab + b + a - 1

= a² (a - 1) - b (a - 1) + 1 (a - 1)

= (a - 1) (a² - b + 1)

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Factorisation by Grouping

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Chapter 13: Factorisation - Exercise 13 (B) [Page 158]

Chapter 13 Factorisation
Exercise 13 (B) | Q 16 | Page 158

Factorise by the grouping method : ab - 2b + a² - 2a

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

Factorise : a² - ab - ca + bc

Factorise : a³ -a² +a -1

factorise: a² − 3a − 40

factorise: 2x² + xy - 6y²

factorise: 14x² + x - 3

Factorise the following by grouping the terms:
8(2a + b)² - 8a -4b

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

Factorise the following by grouping the terms:
x² - (p + q)x + pq