Limits,

So I have been looking at this solution.
Can you tell me what sort of rules should I follow to determine how to 'break' the numerator so that I can refactor it properly afterwards ?

https://www.dropbox.com/s/h8qnnx2jd0v1u3n/Screenshot%202016-01-09%2018.26.57.png?dl=0

Question

Limits,

So I have been looking at this solution.
Can you tell me what sort of rules should I follow to determine how to 'break' the numerator so that I can refactor it properly afterwards ?

https://www.dropbox.com/s/h8qnnx2jd0v1u3n/Screenshot%202016-01-09%2018.26.57.png?dl=0

anonymous · Answer

well since its 0/0 you can use the l'hopital's rule

trojanpoem · Answer

You could factor the denominator normally by taking a common factor t , factor the quadratic equation. 
then do long division

as t approaches 2 ,  we have to get rid of (t-2)

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As for your question , the method mentioned in the solution is called factoring by grouping.