Question

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

Answer 1

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