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Factorise-

x raise to 6 - y raise to 6

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looks like diff of two squares..

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

now go to

Factoring a Sum of Cubes:

a3 + b3 = (a + b)(a2 – ab + b2)

Factoring a Difference of Cubes:

a3 – b3 = (a – b)(a2 + ab + b2)

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