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

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Answer 1 · 2018-03-15T09:48:51

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

Refer to the 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 :)

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