Question

Factorise the following:

c²d – c² – 4d + 4

Answer 1

c²d – c² – 4d + 4

Factor out c² from the expression

c² · (d – 1) – 4d + 4

Factor out –4 from the expression

c² · (d – 1) – 4(d – 1)

Factor out d – 1 from the expression

(d – 1) · (c² – 4)

Use a² – b² = (a – b)(a + b) to factor the expression

(d – 1) · (c – 2) · (c + 2)