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Algebra 2 URGENT

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Simplify:
4s raised to the negative 2 power - (4t)raised to the -2 power

  • Algebra 2 URGENT -

    4s^2 - (4t)^-2

    what about it?
    Are we factoring?
    If so, I see the difference of squares

    = 4(s+t^-1)(s-t^-1)
    or
    = 4(s+1/t)(s-1/t)

  • Algebra 2 URGENT -

    No the question only says to simplify and the problem was 4s^-2-(4t)^-2

  • Algebra 2 URGENT -

    sorry, did not see that first -2

    ok, factoring is simplifying

    or you could so this

    4/s^2 - 1/(16t^2)
    = (64t^2 - s^2)/(16s^2t^2)
    = (8t+s)(8t-s)/(16s^2t^2)

    my revised solution for the above:
    4s^-2 - 16t^-2
    = 4(s^-1 + 2t^-1)(s^-1 - 2t^-1)
    or
    = 4(1/s + 2/t)(1/s - 2/t)

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