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Math Help - Need help factoring this equation using the difference of two squares

  1. #1
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    Need help factoring this equation using the difference of two squares

    not entirely sure how to do it could someone explain it to me?

    (2x + y)^2 - 4

    - '^2' being the power of 2 if its unclear :P
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  2. #2
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    Re: Need help factoring this equation using the difference of two squares

    by letting 2x+y = a
    then the equation will become
    a^2-4
    =(a-2)(a+2)
    =(2x+y-2)(2x+y+2)

    please refer to the identity (a-b)(a+b)=a^2-b^2
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  3. #3
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    Re: Need help factoring this equation using the difference of two squares

    Quote Originally Posted by ryanch94 View Post
    not entirely sure how to do it could someone explain it to me?

    (2x + y)^2 - 4

    - '^2' being the power of 2 if its unclear :P
    Does it help if you write it as \displaystyle (2x + y)^2 - 2^2?
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  4. #4
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    Re: Need help factoring this equation using the difference of two squares

    Quote Originally Posted by piscoau View Post
    by letting 2x+y = a
    then the equation will become
    a^2-4
    =(a-2)(a+2)
    =(2x+y-2)(2x+y+2)

    please refer to the identity (a-b)(a+b)=a^2-b^2
    Cheers for that! Seems quite simple now! :L
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