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Math Help - please help solve equivalent expression question

  1. #1
    Senior Member euclid2's Avatar
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    please help solve equivalent expression question

    1.Check that the following expressions are equivalent using the values x=-2,-1,0,1,2

    12x^2-27/3 and -(-2x+3)(2x+3)

    2.Prove the equivalence of the equations using algebraic manipulation
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  2. #2
    MHF Contributor
    skeeter's Avatar
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    I assume you did part 1 ... here is part 2.

    \frac{12x^2-27}{3} = 4x^2-9 = (2x-3)(2x+3) = -(-2x+3)(2x+3)

    btw, next time use parentheses like so ... (12x^2 - 27)/3

    what you posted is ... 12x^2 - 27/3 = 12x^2 - 9
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