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Math Help - Need Help on Quadratic Equations

  1. #1
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    Need Help on Quadratic Equations

    My problem says :

    Factor each polynomial:

    x^2+2xy+y^2
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  2. #2
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    Quote Originally Posted by mrking View Post
    My problem says :

    Factor each polynomial:

    x^2+2xy+y^2
    (x+y)(x+y)
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  3. #3
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    can you show the work please because I have 3 or 4 more almost exactly like this
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  4. #4
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    Quote Originally Posted by mrking View Post
    can you show the work please because I have 3 or 4 more almost exactly like this
    this is a basic factorization ... you're expected to be familiar with the pattern (a+b)^2 = a^2 + 2ab + b^2
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  5. #5
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    the only equation that my teacher has given me is x^2+bx+c=0. Is this similar?
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  6. #6
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    Quote Originally Posted by mrking View Post
    the only equation that my teacher has given me is x^2+bx+c=0. Is this similar?
    go to the link ...

    Factoring Quadratics: The Simple Case
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  7. #7
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    I have another problem that says:

    a^2+4ab+4b^2

    The solution that I came to is:

    (a-2b)(a-2b)

    is this correct?
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  8. #8
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    As skeeter has shown

    (x+y)^2  = x^2+2xy+y^2

    and

    (x-y)^2  = x^2-2xy+y^2

    In your case

    a^2+4ab+4b^2 = a^2+2\times2ab+(2b)^2 = (a+2b)(a+2b) =  (a+2b)^2
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