Question 338984
{{{(6x^2-31x+5)/(x-5)}}} Start with the given expression.



{{{((6x-1)(x-5))/(x-5)}}} Factor {{{6x^2-31x+5}}} to get {{{(6x-1)(x-5)}}}.



{{{((6x-1)highlight((x-5)))/(highlight((x-5)))}}} Highlight the common terms. 



{{{((6x-1)cross((x-5)))/(cross((x-5)))}}} Cancel out the common terms. 



{{{6x-1}}} Simplify. 



So {{{(6x^2-31x+5)/(x-5)}}} simplifies to {{{6x-1}}}.



In other words, {{{(6x^2-31x+5)/(x-5)=6x-1}}}



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