SOLUTION: How to factor this equation: x^6

SOLUTION: How to factor this equation: x^6 - y^6?

Question 828779: How to factor this equation: x^6 - y^6?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
How to factor this equation: x^6 - y^6?

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x^6 - y^6

x^(3*2) - y^(3*2)

(x^3)^2 - (y^3)^2

(x^3 - y^3)(x^3 + y^3) ... use the difference of squares factoring rule

(x-y)(x^2 + xy + y^2)(x^3 + y^3) ... use the difference of cubes factoring rule to factor x^3 - y^3

(x-y)(x^2 + xy + y^2)(x+y)(x^2 - xy + y^2) ... use the sum of cubes factoring rule to factor x^3 + y^3

(x-y)(x+y)(x^2 + xy + y^2)(x^2 - xy + y^2) ... Rearrange factors (optional)
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