Factorise : A3 + 2a2 - A-2

Factorise : a³ + 2a² - a - 2

Sum

a³ + 2a² - a - 2
= a²( a + 2 ) - 1( a + 2 )
= ( a² - 1 )( a + 2 )
= ( a + 1 )( a - 1 )( a + 2 ) [ ∵ a² - b² = ( a + b )( a - b )]

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Method of Factorisation : Difference of Two Squares

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Chapter 5: Factorisation - Exercise 5 (C) [Page 72]

Chapter 5 Factorisation
Exercise 5 (C) | Q 10 | Page 72

Factorise : a² - (2a + 3b)²

Factorise : 4xy - x² - 4y² + z²

Factorise : a² ( b + c) - (b + c)³

Factorise the following by the difference of two squares:
441 - 81y²

Factorise the following by the difference of two squares:
8xy² - 18x³

Factorise the following by the difference of two squares:
a(a - 1) - b(b - 1)

Factorise the following:
b² - 2bc + c² - a²

Factorise the following:
(x + y)³ - x - y

Express each of the following as the difference of two squares:
(x² - 2x + 3)(x² + 2x + 3)

Express each of the following as the difference of two squares:
(x² - 2x + 3) (x² - 2x - 3)