Express Each of the Following as the Difference of Two Squares: (X2 - 2x + 3) (X2 - 2x - 3) - Mathematics

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

Sum

(x² - 2x + 3) (x² - 2x - 3)
= [(x² - 2x) + 3][(x² - 2x) + 3]
= (x² - 2x)² - (3)²
= (x² - 2x)² - 9.

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Method of Factorisation : Difference of Two Squares

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Chapter 5: Factorisation - Exercise 5.3

Chapter 5 Factorisation
Exercise 5.3 | Q 3.2

Factorise : a² - 81 (b-c)²

Factorise : 4a²b - 9b³

Factorise : 4a² - 12a + 9 - 49b²

Factorise:

(a² - 1) (b² - 1) + 4ab

Factorise the following by the difference of two squares:
64x² - 121y²

Factorise the following by the difference of two squares:
(x - 2y)² -z²

Factorise the following:
a² + b² - c² - d² + 2ab - 2cd

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)