Chapter 4: Algebra... Which is larger?

Jennifer says, "5x2  is always smaller than  (-5x)2. "

Do you agree? Explain your answer. 
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4 comments:

  1. no,5x square is smaller than (-5x )square , let x be 3 so 5x square is 5x4x4 equal to 80 but (-5x)square is equal to 5x4x5x4=400, so5x square is smaller than (-5x )square

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  3. it is the same as 5x√2 equals to 5×5╳x╳×=25xx while -5x√2 equals to -5╳-5╳x╳x=25xx. (take √ as 'power to')
    ∴It is the same value.

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  4. Yes unless x=0, 5x^2 is always smaller than (-5x)^2 because

    5x^2=5*x*x

    (-5x)^2=-5*-5*x*x
    =5*5*x*x

    since 5*x*x is smaller than 5*5*x*x
    5x^2 must be smaller than (-5x)^2

    If x=0
    5x^2=0
    (-5x)^2=0

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