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Math Help - Simplify Expression for Hydraulics

  1. #1
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    Simplify Expression for Hydraulics

    Hi guys, i am currently preparing for one of my exams in hydraulics
    .and here is the expression that I am failing to solve.

    h/2 + L*h^3 / 12 * h * L * h/2

    So my goal is to try to find a shorter expression for this.
    and I get 2h/3

    But our teachers solution is insisting on that it should be
    h * 3/2

    how did he get to that?
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  2. #2
    MHF Contributor Siron's Avatar
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    re: Simplify Expression for Hydraulics

    It would be useful if you would use brackets, because the expression is not clear to me.
    \frac{h}{2}+\frac{l\cdot h^3}{h\cdot l\cdot \frac{h}{2}}?
    \frac{h}{2}+\frac{l\cdot h^3}{12\cdot h} \cdot h \cdot l \cdot \frac{h}{2}
    ...
    ?
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