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Math Help - Algebra Fail! - Simplifying squared terms.

  1. #1
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    Algebra Fail! - Simplifying squared terms.

    (x+1/2)^2 - (x+3/2)^2

    How does it simplify... Is there a name for term of this nature? I've forgotten.
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by NeZVa View Post
    (x+1/2)^2 - (x+3/2)^2

    How does it simplify... Is there a name for term of this nature? I've forgotten.
    (x+1/2)^2 - (x+3/2)^2
    = {(x^2)+2*x*\frac{1}{2}+[\frac{1}{2}]^2} - [(x^2)+2*x*[\frac{3}{2}]+[\frac{3}{2}]^2]

    = {x^2}+x+\frac{1}{4}-{x^2}-3x-\frac{9}{4}

    = -2x-\frac{8}{4}

    = -2x-2

    = -2(x+1)
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  3. #3
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by harish21 View Post
    (x+1/2)^2 - (x+3/2)^2
    = {(x^2)+2*x*\frac{1}{2}+[\frac{1}{2}]^2} - [(x^2)+2*x*[\frac{3}{2}]+[\frac{3}{2}]^2]

    = {x^2}+x+\frac{1}{4}-{x^2}-3x-\frac{9}{4}

    = -2x-\frac{8}{4}

    = -2x-2

    = -2(x+1)
    Remember: (a+b)^2 = {a^2}+2ab+{b^2}
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  4. #4
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    Quote Originally Posted by harish21 View Post
    Remember: (a+b)^2 = {a^2}+2ab+{b^2}
    Thanks, I had such a brain fart.
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