Question

How do I use the binomial theorem to expand `(d-4b)^3`?

Answer 1

`d^3-12bd^2+48b^2d-64b^3`

Refer to the explanation.

Explanation:

`(d-4b)^3`

Using binomial theorem,

`C(3,0) * d^3*(4b)^0 - C(3,1) * d^(3-1) * (4b)^1)+C(3,2) * d^(3-2) * (4b)^2 - C(3,3)* d^(3-3) * (4b)^3`
`d^3-3*d^2*4b +3*d*16b^2-64b^3`

`d^3-12bd^2+48b^2d-64b^3`

That's it. Hope it helps :)