Answer
$36m^3+8m^2-24m$
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:
$$4m(2m+9m^2-6)=4m(2m)+(4m)(9m^2)+4m(-6)=8m^2+36m^3-24m$$To write in standard form, the term with the highest power must come first. This gives us: $36m^3+8m^2-24m$
