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Math Help - Second Opinion On Hw Answer

  1. #1
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    Second Opinion On Hw Answer

    X/5X-6 - 3X/2X-5 =


    <br><br>INTO ONE SIMPLE FRACTION FORM

    USING MY TECHNIQUE I GOT AN ANSWER, PLZ SOME OTHER PPL SUBMIT THE ANSWER THEY GET CUS IT IS VERY IMPORTANT AND WANT TO MAKE SURE I HAVNT MADE ANY SILLY MISTAKES<br>
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  2. #2
    MHF Contributor red_dog's Avatar
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    Write your answer first, to see if it's correct.
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  3. #3
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    I GOT 2Xsquared-2X/15Xsquared-37X+30
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  4. #4
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    Red dog u do it, wot u get? i wouldnt be so needy but its like really important i get this right
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  5. #5
    MHF Contributor red_dog's Avatar
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    \displaystyle\frac{x}{5x-6}-\frac{3x}{2x-5}=\frac{x(2x-5)-3x(5x-6)}{(5x-6)(2x-5)}=
    \displaystyle =\frac{-13x^2+13x}{10x^2-37x+30}
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  6. #6
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    Hello, Sasha!

    Don't know what "your technique" is . . . but it's wrong.


    \frac{x}{5x-6}  -  \frac{3x}{2x-5}

    We need a lowest common denominator
    . . so we "convert" the fractions to the LCD.

    \frac{x}{5x-6}\cdot{\color{blue}\frac{2x-5}{2x-5}} - \frac{3x}{2x-5}\cdot{\color{blue}\frac{5x-6}{5x-6}} \;\;= \; \;\frac{x(2x-5) - 3x(5x-6)}{(5x-6)(2x-5)}

    . . = \;\frac{2x^2 - 5x - 15x^2 + 18x}{(5x-6)(2x-5)} \;=\;\frac{-13x^2 + 13x}{(5x-6)(2x-5)} \;\;= \;\;\boxed{\frac{-13x(x-1)}{(5x-6)(2x-5)}}

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