Question

expand of the following (x-4) ³​

Answer 1

As it is in the form (a - b)^3

We can use the formula (a - b)^3 = a^3 - 3a^2 X b + 3ab^2 - b^3

So,

(x - 4)^3 = x^3 - 3 X x^2 X 4 + 3 X x X 16 - 4^3

             = x^3 - 12x^2 + 48x - 64.

Answer 2

Step-by-step explanation:

$(x-4)^{2}\\=x^{3} -64-12x(x-4)\\=x^{3} -64-12x^{2} +48x\\=x^{3} -12x^{2} +48x-64$

That's the $(a-b)^{2}$ identity.

Just use it and you'll find the solution.