Question 183052
{{{(6y^6-9y^4+12y^2)/(3y^2)}}} Start with the given expression.



{{{(3y^2(2y^4-3y^2+4))/(3y^2)}}} Factor out the GCF {{{3y^2}}}



{{{(highlight(3y^2)(2y^4-3y^2+4))/highlight(3y^2)}}} Highlight the common terms.



{{{(cross(3y^2)(2y^4-3y^2+4))/cross(3y^2)}}} Cancel out the common terms.



{{{2y^4-3y^2+4}}} Simplify



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Answer:


So {{{(6y^6-9y^4+12y^2)/(3y^2)}}} simplifies to {{{2y^4-3y^2+4}}} 



In other words, {{{(6y^6-9y^4+12y^2)/(3y^2)=2y^4-3y^2+4}}} where {{{y<>0}}}