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Math Help - Rational Expressions

  1. #1
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    Rational Expressions

    What would be the common denominator for these three demoninators
    2x, 4, 2x+3

    thanks so much....would it just be to multiply all three by each other?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Natalie View Post
    What would be the common denominator for these three demoninators
    2x, 4, 2x+3

    thanks so much....would it just be to multiply all three by each other?
    multiplying each other would be one way to do it, but it's a slight overkill.

    4x(2x + 3) would do it, as oppsed to the 8x(2x + 3) you would get if you multiply all three. it's no big deal though, if you use 8x(2x + 3) the extra 2 would eventually cancal out, and maybe more
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  3. #3
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    oooh great thanks so much, that helps.

    so is there any faster ways in simplifying this?

    4x
    ---------
    (x+5)(x-1)

    subract

    5
    ---
    4

    thanks again
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Natalie View Post
    oooh great thanks so much, that helps.

    so is there any faster ways in simplifying this?

    4x
    ---------
    (x+5)(x-1)

    subract

    5
    ---
    4

    thanks again

    ..........4x .........................5
    ...------------.....-..........-----
    ....(x+5)(x-1).....................4

    ...........8x...-...5(x + 5)(x - 1)
    ..= ..-------------------------
    .............4(x + 5)(x - 1)

    ...........8x...-...5(x^2 + 4x - 5)
    ..= ..---------------------------
    .............4(x + 5)(x - 1)

    ...........8x...-...(5x^2 + 20x - 25)
    ..= ..---------------------------
    ...............4(x + 5)(x - 1)

    ............-5x^2 -12x + 25
    ..= ..---------------------------
    ...............4(x + 5)(x - 1)
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