The problem asks us to expand the expression $(1 - 4m)(m^2 - 3m + 8)$ and write the answer as a polynomial in standard form.

1. Problem Description

The problem asks us to expand the expression $(1 - 4m)(m^2 - 3m + 8)$ and write the answer as a polynomial in standard form.

2. Solution Steps

First, we distribute the terms in the first parenthesis to the terms in the second parenthesis:

$(1 - 4m)(m^2 - 3m + 8) = 1(m^2 - 3m + 8) - 4m(m^2 - 3m + 8)$

Next, we distribute the $1$ and $-4m$:

$1(m^2 - 3m + 8) = m^2 - 3m + 8$

$-4m(m^2 - 3m + 8) = -4m^3 + 12m^2 - 32m$

Now, we add the two resulting polynomials:

$(m^2 - 3m + 8) + (-4m^3 + 12m^2 - 32m) = -4m^3 + (m^2 + 12m^2) + (-3m - 32m) + 8$

Combining like terms:

$-4m^3 + 13m^2 - 35m + 8$

3. Final Answer

The final answer is $-4m^3 + 13m^2 - 35m + 8$.