Question 682004
{{{y^3-15y^2+54y}}}


{{{y(y^2-15y+54)}}}


{{{y(y^2-6y-9y+54)}}} Note: -6 and -9 add to -15 and multiply to 54.


{{{y((y^2-6y)+(-9y+54))}}}


{{{y(y(y-6)+(-9y+54))}}}


{{{y(y(y-6)-9(y-6))}}}


{{{y(y-9)(y-6)}}}



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Answer:


{{{y^3-15y^2+54y}}}


completely factors to


{{{y(y-9)(y-6)}}}