Expand and then simplify?

x(x + 3y) - y(3x - y) - (-x^2 + y^2)

4 Answers

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  • Chris
    Lv 7
    9 years ago
    Favourite answer

    x(x + 3y) - y(3x - y) - (-x^2 + y^2) =

    x^2 + 3xy - 3xy + y^2 + x^2 - y^2 =

    2x^2

  • 9 years ago

    x(x + 3y) - y(3x - y) -(-x^2 + y^2)

    Distribute

    x^2 + 3xy - 3xy + y^2 + x^2 - y^2

    Group together out like terms (terms with same variables to the same power)

    (x^2 + x^2) + (3xy - 3xy) + (y^2 - y^2)

    x^2 + x^2 + 0 + 0 = 2x^2

    Answer : 2x^2

    Hope that helps :)

  • David
    Lv 7
    9 years ago

    x(x + 3y) - y(3x - y) - (-x^2 + y^2)

    x^2 + 3xy - 3xy + y^2 + x^2 - y^2

    2x^2

  • 9 years ago

    X^2 + 3xy - 3xy + y^2 + x^2 - y^2

    2x^2

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