Answer
$6g^3-48g^2$
Work Step by Step
We can multiply a monomial by a polynomial using the distributive property, which states that we multiply the term outside the parentheses by each term inside the parentheses and then combine like terms to simplify:
$$6g^2(g-8)=6g^2(g)+(6g^2)(-8)=6g^3-48g^2$$To write in standard form, the term with the highest power must come first. This expression is already in standard form.