Question:

Simple maths! Multiplication/division?

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How do you guys solve this?

x^2 * 1/(1+(x/2)^2) * (1/2)

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2 ANSWERS


  1. PEMDAS

    Parens, Exponents, Multiply & Divide, Addition & Subtraction

    Start all the way in with X/2.

    Back out one level to (X/2)^2.  That gives you X^2/4.

    Etc.


  2. x^2 * 1/(1 + (x/2)^2) * (1/2)

    x^2 * 1/(1 + (x^2)/4) * 0.5        [ (x/2)^2 ]

    (0.5*x^2)/(1 + (x^2)/4)             [Put everything in one numerator and denominator]

    (0.5*x^2)/((4 + x^2)/4)             [Changed 1 to 4/4 and added it to x^2/4]

    4*(0.5*x^2)/(4 + x^2)               [Divide by fraction, so we can "flip" the fraction and the 4 is multiplied to the numerator]

    (2*x^2)/(4 + x^2)

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