Algebra, math,

(a^6-b^6)/(a^4+a^2*b^2+b^4) simplify show work

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asked by I.S
  1. a^6-b^6 = (a^2)^3 - (b^2)^3
    = (a^2-b^2)((a^2)^2+(a^2)(b^2)+(b^2)^2)
    = (a-b)(a+b)(a^4+a^2b^2+b^4)

    now do the division and you are left with

    (a-b)(a+b) = a^2-b^2

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    posted by Steve

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