Not sure if im going mad but struggling with this (a) Write down the polynomial P in x, y such that: x^6 − y^6 = (x^2 − y^2)*P. Many thanks in advance.
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Hint : Denote and then, so, is a root of and you can decompose it using Ruffini's rule. Fernando Revilla
Hello, breitling! . . Don't you recognize that difference of cubes? . . . . ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ The very least you can do is some Long Division . . . . .
Last edited by Soroban; Jan 25th 2011 at 06:23 AM.
A better solution: by the Difference of Two Cubes rule... . So what is ?
The question actually asked x^6-y^6=(x^2+y^2)*p got the sign wrong.
Originally Posted by breitling The question actually asked x^6-y^6=(x^2+y^2)*p got the sign wrong. Then do exactly what people suggested you do before!
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