Simplifying (Math)

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[a + (8a^-2)] / [1 + (2a^-1)]

and

[(x^-1) + (y^-1)] /[(x^-1) - (y^-1)]

No idea where to begin simplifying. Suggestions and help are greatly appreciated.

  • Simplifying (Math) -

    [ a + 8/a^2 ]/ [1 + 2/a ]
    multiply top and bottom by a^2
    [a^3 + 8a ] / [a^2 + 2 a ]
    [a^2 + 8] /[ a^2 + 2 ]

    [ 1/x + 1/y ]/[1/x - 1/y]
    multiply top and bottom by x y
    [y+x]/[y-x]

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