Question 126370
{{{(t^2-16)/(t^2-8t+16)}}} Start with the given expression


{{{((t+4)(t-4))/(t^2-8t+16)}}}   Factor {{{t^2-16}}} to get {{{(t+4)(t-4)}}} 



{{{((t+4)(t-4))/((t-4)(t-4))}}}   Factor {{{t^2-8t+16}}} to get {{{(t-4)(t-4)}}} 




{{{(t+4)cross((t-4))/cross((t-4))(t-4)}}} Cancel like terms



{{{(t+4)/(t-4)}}} Simplify



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Answer:


So {{{(t^2-16)/(t^2-8t+16)}}} simplifies to {{{(t+4)/(t-4)}}}. In other words {{{(t^2-16)/(t^2-8t+16)=(t+4)/(t-4)}}}