Precalculus

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1. Simplify the expression ((5x^-2)/(4x^2))^-2

2. (x)/(x^2-81)-(9)/(81-x^2) =

3. Let (-3,3) and (-6,_2) be points in the Cartesian plane. Find the distance between the points.

  • Precalculus -

    ((5x^-2)/(4x^2))^-2
    = (5x^-2)(4x^2)^2
    = (5x^-2)(16x^4)
    = 80x^2

    2. Do you realize that 81 - x^2 = -(x^2 - 81)

    so (x)/(x^2-81)-(9)/(81-x^2)
    = x/(x^2 - 81) + 9/(x^2 - 81)
    = (x-9)/((x+9)(x-9))
    = 1/(x+9) , x ≠ 9

  • Precalculus -

    for #3
    you should have a formula for the distance between 2 points.

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