Factorise by the Grouping Method: A3 + a - 3a2 - 3

Factorise by the grouping method : a³ + a - 3a² - 3

Sum

a³ + a - 3a² - 3
= a (a² + 1) - 3(a² + 1)
= (a² + 1) (a -3).

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Factorisation by Grouping

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Chapter 5: Factorisation - Exercise 5 (A) [Page 69]

Chapter 5 Factorisation
Exercise 5 (A) | Q 5 | Page 69

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

Factorize using the grouping method:

x² + y² + x + y + 2xy

Factorise : (a² − b²) c + (b² − c²)a

factorise: x² - x - 72

factorise: 4 + y - 14y²

Factorise: 2(x + 2y)² − 5(x + 2y) + 2

factorise: 15(5x - 4)² - 10(5x - 4)

factorise: 3a²x - bx + 3a² - b

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

Factorise the following by grouping the terms:

`(1)/(25x^2) + 16x^2 + (8)/(5) - 12x - (3)/(5x)`