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AP GP HP is nt difficult
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Here are some more! If A and G be the AM and GM between two numbers a,b then a,b are given by A   (A+G)(A-G)If H is the HM between a and b then, (H-2a)(H-2b)=H2 (1/(H-a))+(1/(H-b))=(1/a)+(1/b) ((H+a)/(H-a))+((H+b)/(H-b))=2 If a,b,c are any numbers then, a3+b3+c3-3abc=(a+b+c)(a+bw+cw2)(a+bw2+cw) where w is cube root of unity.
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-ADARSH NITK Surathkal |
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