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Math Help - Is this accurate?

  1. #1
    Junior Member
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    Is this accurate?

    (x+y+xy)^2

    Solved:

    (x+y+xy)(x+y+xy)

    = x(x+y+xy)+y(x+y+xy)+xy(x+y+xy)

    = x^2+xy+x^2y+xy+y^2+xy^2+x^2y+xy^2+x^2y^2

    = x^2y^2+x^2+y^2+2xy+2x^2y+2xy^2+x^2y
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  2. #2
    Super Member

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    Hello, deekay930!

    Small slip at the end . . .


    (x+y+xy)^2

    Solved:

    (x+y+xy)(x+y+xy)

    . . =\;x(x+y+xy)+y(x+y+xy)+xy(x+y+xy)

    . . \;=x^2+xy+ {\color{blue}x^2y}+xy+y^2+xy^2+ {\color{blue}x^2y}+xy^2+x^2y^2

    . . =\;x^2y^2 + x^2 + y^2 + 2xy + {\color{blue}2x^2y} + 2xy^2 +\:{\color{red}\rlap{////}}x^2y
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  3. #3
    No one in Particular VonNemo19's Avatar
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    Detroit, MI
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    Quote Originally Posted by deekay930 View Post
    (x+y+xy)^2

    Solved:

    (x+y+xy)(x+y+xy)

    = x(x+y+xy)+y(x+y+xy)+xy(x+y+xy)

    = x^2+xy+x^2y+xy+y^2+xy^2+x^2y+xy^2+x^2y^2

    = x^2y^2+x^2+y^2+2xy+2x^2y+2xy^2+x^2y
    Yes. this is accurate. Except for the extra term...
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