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Simplify (2011! + 2012!)/(2011! + 2010!).

 Nov 24, 2019
 #1
avatar+105989 
+2

Just factorize the top and the bottom then cancel.

 Nov 24, 2019
 #2
avatar+978 
+1

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!

:P

 Nov 24, 2019
 #3
avatar+105989 
0

Hi Coolstuff,

As a teaching suggestion you could have just factorised the top and let the asker copy your method to factorise the bottom by themselves.  wink

Melody  Nov 24, 2019
edited by Melody  Nov 24, 2019

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