algebra 1

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Simplify the rational expressions,if possible.State the excluded values,if any.
1.5x-5/10x^2-25x+15


2.w^2+6w+9/2w^2-18

  • algebra 1 -

    (5x-5)/(10x^2-25x+15)
    5(x-1) / 5(2x^2-5x+3)
    5(x-1) / 5(x-1)(2x-3)
    Now as long as x≠1, that is just
    1/(2x-3)

    (w^2+6w+9)/(2w^2-18)
    (w+3)(w+3) / 2(w+3)(w-3)
    if x≠-3, that's
    (w+3) / 2(w-3)

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