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Thread: cancellation

  1. June 6th 2010, 11:00 PM #1
    l flipboi l
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    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. June 6th 2010, 11:50 PM #2
    Grandad
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    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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