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Math Help - Trinomials

  1. #1
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    Trinomials

    How do I solve this?

    (8x^2 + 18xy + 9x^2) - (x^2 + 3xy +2y^2)
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  2. #2
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    Expand the second set of brackets and group like terms.
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  3. #3
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    (8x^(2)+18xy+9x^(2))-(x^(2)+3xy+2y^(2))

    Since 8x^(2) and 9x^(2) are like terms, add 9x^(2) to 8x^(2) to get 17x^(2).
    (17x^(2)+18xy)-(x^(2)+3xy+2y^(2))

    Multiply -1 by each term inside the parentheses.
    17x^(2)+18xy-x^(2)-3xy-2y^(2)

    Since 17x^(2) and -x^(2) are like terms, add -x^(2) to 17x^(2) to get 16x^(2).
    16x^(2)+18xy-3xy-2y^(2)

    Since 18xy and -3xy are like terms, add -3xy to 18xy to get 15xy.
    16x^(2)+15xy-2y^(2)

    Hope that helps
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