Answer
$8x^3-24x^2-48x+4$
Work Step by Step
Use distributive property and clear the parentheses.
$8(4x^3-3x^2-1)-6(4x^3+8x-2)\\
=32x^3-24x^2-8-24x^3-48x+12$
Combine like terms.
$=8x^3-24x^2-48x+4$
Hence, the single polynomial answer in standard form is $8x^3-24x^2-48x+4$.