Question 350385
{{{(6x^2+16x+10)/(2x+2)}}} Start with the given expression.



{{{(2(3x+5)(x+1))/(2x+2)}}} Factor {{{6x^2+16x+10}}} to get {{{2(3x+5)(x+1)}}}.



{{{(2(3x+5)(x+1))/(2(x+1))}}} Factor {{{2x+2}}} to get {{{2(x+1)}}}.



{{{(highlight(2)*(3x+5)*highlight((x+1)))/(highlight(2)*highlight((x+1)))}}} Highlight the common terms. 



{{{(cross(2)*(3x+5)*cross((x+1)))/(cross(2)*cross((x+1)))}}} Cancel out the common terms. 



{{{3x+5}}} Simplify. 



So {{{(6x^2+16x+10)/(2x+2)}}} simplifies to {{{3x+5}}}.



In other words, {{{(6x^2+16x+10)/(2x+2)=3x+5}}}



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