Question 201123


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



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



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



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



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



{{{1/(3x+5)}}} Simplify. 



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



In other words, {{{(2x+2)/(6x^2+16x+10)=1/(3x+5)}}}