Factorise : Xy - Ay - Ax + A2 + Bx - Ab

Factorise : xy - ay - ax + a² + bx - ab

Sum

xy - ay - ax + a² + bx - ab

= y (x - a) - a (x - a) + b (x - a)

= (x - a) (y - a + b)

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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 6 | Page 158

Factorise by the grouping method : a⁴ - 2a³ - 4a + 8

Factorize using the grouping method:

x² + y² + x + y + 2xy

Factorise : a(b − c) − d(c − b)

Factorise : a³ - a² - ab + a + b - 1

Factorise : 2ab² - aby + 2cby - cy²

factorise: 5 + 7x - 6x²

factorise: a² - 23a -108

factorise: 12(a + b)² - (a+ b) - 35

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

Factorise the following by grouping the terms:

`"p"^2 + (1)/"p"^2 - 2 - 5"p" + (5)/"p"`