Answer
$y^3-6y^2+11y-6$
Work Step by Step
Using the Distributive Property, the given expression, $
(y-2)(y^2-4y+3)
,$ is equivalent to
\begin{array}{l}\require{cancel}
y(y^2)+y(-4y)+y(3)-2(y^2)-2(-4y)-2(3)
\\\\=
y^3-4y^2+3y-2y^2+8y-6
\\\\=
y^3+(-4y^2-2y^2)+(3y+8y)-6
\\\\=
y^3-6y^2+11y-6
.\end{array}
