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Math Help - Help with Example

  1. #1
    Newbie
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    Aug 2013
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    UK
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    Help with Example

    Hi

    I am a little stuck with working through this example. In the picture below I understand how to work through down to the red box but I am not sure how to get from the red box to the yellow one.

    Could someone explain the steps as simply as possible to me please?
    Help with Example-20130807_133309.jpg

    Thank you for any help
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  2. #2
    TeM
    TeM is offline
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    dfd
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    Re: Help with Example

    \begin{aligned}(2-\lambda)\lambda(1+\lambda)-(1+\lambda)&=(1+\lambda)\left[(2-\lambda)\lambda-1\right]\\&=(1+\lambda)\left(2\lambda-\lambda^2-1\right)\\&=-(1+\lambda)\left(1-2\lambda+\lambda^2\right)\\&=-(1+\lambda)(1-\lambda)^2\end{aligned}
    Ok?
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