SOLUTION: how do you factor x to the 6 minus y to the 6th two different ways. I think one way would be to use the difference of squares and the other the difference of cubes.

Question 664994: how do you factor x to the 6 minus y to the 6th two different ways. I think one way would be to use the difference of squares and the other the difference of cubes.

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
correct
Let's do diff of squares first. For that

In our case, a^2 is x^6, so a = x^3. b^2 is y^6, so b - y^3
thus we get
note terms are also a sum and diff of 2 cubes, so you need to expand those as well. End result is

Now let's do it as diff of two cubes first
but the first term is a diff of 2 squares, so expand that to
i do not have a formula that shows how to easily expand the last term, but since hte factoring must come out the same regardless lf the method used, you can prove to yourself that

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