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Math Help - cancellation

  1. #1
    Member
    Joined
    Sep 2009
    Posts
    181

    cancellation

    Hello,

    can someone please explain to me how they got to this answer?

    Problem:

    how does this...
    1+4x^2-(1/2)+(1/64x^2)

    become...
    (2x+(1\8x))^2

    how do you get rid of the (1/2)?
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  2. #2
    MHF Contributor
    Grandad's Avatar
    Joined
    Dec 2008
    From
    South Coast of England
    Posts
    2,570
    Hello l flipboi l
    Quote Originally Posted by l flipboi l View Post
    Hello,

    can someone please explain to me how they got to this answer?

    Problem:

    how does this...
    1+4x^2-(1/2)+(1/64x^2)

    become...
    (2x+(1\8x))^2

    how do you get rid of the (1/2)?
    1+4x^2-\frac12+\frac{1}{64x^2}= 4x^2 +\frac12+\frac{1}{64x^2}
    =(2x)^2 + 2\cdot2x\cdot\frac{1}{8x}+\left(\frac{1}{8x}\right  )^2

    =\left(2x+\frac{1}{8x}\right)^2
    Grandad
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