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Math Help - I'm having a problem with the following partial fraction

  1. #1
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    I'm having a problem with the following partial fraction


    Why is it Ax(x+3) + B(x+3) + Cx^2
    instead of Ax^2(x+3) + Bx(x+3) + Cx^3
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  2. #2
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    Quote Originally Posted by swatpup32 View Post

    Why is it Ax(x+3) + B(x+3) + Cx^2
    instead of Ax^2(x+3) + Bx(x+3) + Cx^3
    hello
    \frac{A}{x}+\frac{B}{x^2}+\frac{C}{x+3}=\frac{Ax(x  +3)+B(x+3)+Cx^2}{x^2(x+3)}
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  3. #3
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    I'm sorry, but I still don't understand.
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  4. #4
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    Quote Originally Posted by swatpup32 View Post
    I'm sorry, but I still don't understand.
    do you know how to make a single fraction of this expression,  \frac{A}{x}+\frac{B}{x^2}+\frac{C}{x+3} ?
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  5. #5
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    okay, I wasn't thinking about it as a fraction. I was only considering the numerator. An, x canceled out from the numerator and denominator.
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  6. #6
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    Quote Originally Posted by Raoh View Post
    do you know how to make a single fraction of this expression,  \frac{A}{x}+\frac{B}{x^2}+\frac{C}{x+3} ?
    you must make \frac{A}{x}+\frac{B}{x^2}+\frac{C}{x+3} a single fraction with the denominator x^2(x+3).
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  7. #7
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    \frac{x^2+8x-3}{x^2(x+3)} =\frac{Ax(x+3)+B(x+3)+Cx^2}{x^2(x+3)}
    now get rid of the same denominators and you'll have,
    x^2+8x-3=Ax(x+3)+B(x+3)+Cx^2
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