Question 243611
{{{(28c^3d-42cd^2+56cd^3)/(14cd)}}} Start with the given expression.



{{{(14cd(2c^2-3d+4d^2))/(14cd)}}} Factor out the GCF {{{14cd}}} from the numerator.



{{{(highlight(14cd)(2c^2-3d+4d^2))/highlight(14cd)}}} Highlight the common terms.



{{{(cross(14cd)(2c^2-3d+4d^2))/cross(14cd)}}} Cancel out the common terms.



{{{2c^2-3d+4d^2}}} Simplify.



So {{{(28c^3d-42cd^2+56cd^3)/(14cd)=2c^2-3d+4d^2}}} where {{{c<>0}}} or {{{d<>0}}}