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8 July, 02:54

Factor x6 - y 6 completely. Show your work.

x6 - y 6 =

+2
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  1. 8 July, 03:15
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    Problem: x^6-y^6

    Step 1: x^6-y^6 = (x^3+y^3) (x^3-y^3) - difference of square rule

    Step 2: x^3+y^3 = (x+y) (x^2-xy+y^2) - factor

    Step 3: x^3-y^3 = (x-y) (x^2+xy+y^2) - factor

    Answer: (x+y) (x-y) (x^2-xy+y^2) (x^2+xy+y^2)
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