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Math Help - Simplifying a fraction with powers in it

  1. #1
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    Simplifying a fraction with powers in it

    I have a question for which my answer does not tally with the proper one. I cannot figure out why. Here it is;

    Simplify (s^3 + t^2s) / s

    Now the answer I would give would be s^2 + t^2s, however the official answer is apparently just s^2 + t^2.

    Why is this? Where am I going astray
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  2. #2
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    Re: Simplifying a fraction with powers in it

    Actually, I think I understand where I went wrong. I guess there is a rule saying I have to cancel out the 's' on both sides of the + sign?
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    Re: Simplifying a fraction with powers in it

    Quote Originally Posted by Consumariat View Post
    I have a question for which my answer does not tally with the proper one. I cannot figure out why. Here it is;

    Simplify (s^3 + t^2s) / s

    Now the answer I would give would be s^2 + t^2s, however the official answer is apparently just s^2 + t^2.

    Why is this? Where am I going astray
    \frac{(s^3 + t^2s) } {s}=\frac{s^3}{s}+\frac{t^2s}{s}=s^2 + t^2
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    Re: Simplifying a fraction with powers in it

    You can say that \dfrac{a+b}{c} = \dfrac{a}{c} + \dfra\{b}{c}.

    In your case a = s^3 , b = t^2s, c = s which gives \dfrac{s^3+t^2s}{s} = \dfrac{s^3}{s} + \dfrac{t^2s}{s} and then s will cancel from both fractions
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  5. #5
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    Re: Simplifying a fraction with powers in it

    Thank you all for the help.
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