Question

factorise iv) x3 -12x (x - 4) -64

Answer 1

Answer:

(x-4)(x-4)(x-4)

Step-by-step explanation:

x³ -12x (x - 4) - 64

= x³ - 3(x)(4) (x - 4) - 4³

= (x-4)³                                       [ ∵ (a-b)³ = a³ - 3ab(a-b) - b³ ]

so, x³ -12x (x - 4) - 64 = (x-4)(x-4)(x-4)