Question 424885
{{{(8n^2+8n)/(40n^2+64n)}}} Start with the given expression



{{{(8n(n+1))/(40n^2+64n)}}} Factor out the GCF {{{8n}}} from the numerator.



{{{(8n(n+1))/(8n(5n+8))}}} Factor out the GCF {{{8n}}} from the denominator.



{{{(highlight(8n)(n+1))/(highlight(8n)(5n+8))}}} Highlight the common terms.



{{{(cross(8n)(n+1))/(cross(8n)(5n+8))}}} Cancel out the common terms.



{{{(n+1)/(5n+8)}}} Simplify



So {{{(8n^2+8n)/(40n^2+64n)}}} simplifies to {{{(n+1)/(5n+8)}}} 



In other words, {{{(8n^2+8n)/(40n^2+64n)=(n+1)/(5n+8)}}} 



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