King of Algebra?

Our Specialist Maths teacher, Warren, was very proud to present us with a well worked solution to the following problem. It was Question 26 on the Senior paper of the recent 2010 Australian Mathematics Competition.

If  m + n = 11  and  m2 + n2 = 99,  what is the value of  m3 + n3 ?

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About webmaths

I have been teaching Mathematics in Victorian secondary schools for 30 years. I use the www to make my maths lessons better. I hope this blog will give other teachers some ideas to try in their own classes.
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