Question

Factorise the following:

(2c – d) – a(d – 2c)

Answer 1

(2c – d) – a · (d – 2c)

Factor out the negative sign from the expression and reorder the terms:

(2c – d) – a · (– (2c – d))

Multiplying two negatives equals a positive: (–) · (–) = (+)

(2c – d) + a · (2c – d)

Factor out 2c – d from the expression

(2c – d) · (1 + a)