#### Answer

distributive;
$4x^5-8x^2+6$;
$7x^3$

#### Work Step by Step

RECALL:
For any real numbers a, b, c, and d, the distributive property states that
$a(b+c+d) = ab + ac + ad.$
Thus, to simplify $7x^3(4x^5-8x^2+6)$, using the distributive property gives
$7x^3(4x^5) -7x^3(8x^2) + 7x^3(6).$
Therefore, the missing expressions/words (in order) in the given statement are
distributive;
$4x^5-8x^2+6$;
$7x^3.$