mathematics

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Determine whether the statement is true, false, or sometimes true.
1) If x and y are both integers, 1)
then (-x)3 = -x3
A) Sometimes true B) True C) False

  • mathematics -

    If you mean
    (-x)3 = -x3

    yes, that is always true

    As a matter of fact, it is true for all odd exponents of n for
    (-x)n = -xn
    and false for all even numbers of n.

    e.g. (-3)^3 = (-3)(-3)(-3) = -27
    -3^3 = -(3)^3 = -(3)(3)(3) = -27
    but

    (-3)^4 = (-3)(-3)(-3)(-3) = +81
    and -3^4 = -(3)(3)(3)(3) = -81

  • mathematics -

    Let's try that again

    If you mean
    (-x)3 = -x3

    yes, that is always true

    As a matter of fact, it is true for all odd exponents of n for
    (-x)n = -xn
    and false for all even numbers of n.

    e.g. (-3)^3 = (-3)(-3)(-3) = -27
    -3^3 = -(3)^3 = -(3)(3)(3) = -27
    but

    (-3)^4 = (-3)(-3)(-3)(-3) = +81
    and -3^4 = -(3)(3)(3)(3) = -81

  • mathematics -

    Determine the nature of the solutions of the equations. 2t²-6t=0

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