Answer
$2a^2b^2-3ab^3+5ab^2$
Work Step by Step
Dividing each term of the given polynomial by the given monomail, then
$$\begin{aligned}
&(4a^3b^4-6a^2b^5+10a^2b^4)\div2ab^2
\\&=
\frac{4a^3b^4}{2ab^2}-\frac{6a^2b^5}{2ab^2}+\frac{10a^2b^4}{2ab^2}
\\&=
2a^2b^2-3ab^3+5ab^2
.\end{aligned}
$$Hence, the quotient is $2a^2b^2-3ab^3+5ab^2$.
