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Question: Simplify \(\frac{2011!+2012!}{2011!+2010!}\).

 

 

We can factor stuff out from the numerator and denominator.

Let's factor out 2010 from both the numerator and denominator.

The numerator will become \(2010(2011+2011\times 2012)\).

The denominator will become \(2010(2011+1)\).

 

In fraction form, this looks like \(\frac{2010(2011+2011\times 2012)}{2010(2011+1)}\)

From there, cancel out 2010, and solve.

 

You are very welcome!

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