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5 October, 04:29

Match the pairs of polynomials to their products. (xy + 9y + 2) and (xy - 3) x2y2 + 3x2y - 7xy - 27x - 18 (2xy + x + y) and (3xy2 - y) 6x2y3 - 2xy2 + 3x2y2 - xy + 3xy3 - y2 (x - y) and (x + 3y) x3y + 3x2 + 3x2y2 + 7xy - 6 (xy + 3x + 2) and (xy - 9) x2 - 9y2 (x2 + 3xy - 2) and (xy + 3) (x + 3y) and (x - 3y)

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  1. 5 October, 04:58
    0
    Step-by-step explanation:

    1) (xy + 9y + 2) and (xy - 3)

    Each term of second expression will be multiplied by first bracket.

    xy (xy+9y+2) - 3 (xy+9y+2)

    x²y²+9xy²+2xy-3xy-27y-6

    x²y²+9xy²-xy-27y-6

    2) (2xy + x + y) and (3xy2 - y)

    3xy² (2xy+x+y) - y (2xy+x+y)

    6x²y³+3x²y²+3xy³-2xy²-xy-y²

    6x²y³ - 2xy² + 3x²y² - xy + 3xy³ - y²

    3) (x - y) and (x + 3y)

    x (x-y) + 3y (x-y)

    x²-xy+3xy-3y²

    x²+2xy-3y²

    4) (xy + 3x + 2) and (xy - 9)

    xy (xy + 3x + 2) - 9 (xy + 3x + 2)

    x²y²+3x²y+2xy-9xy-27x-18

    x²y²+3x²y-7xy-27x-18

    5) (x2 + 3xy - 2) and (xy + 3)

    xy (x2 + 3xy - 2) + 3 (x2 + 3xy - 2)

    x³y+3x²y²-2xy+3x²+9xy-6

    x³y+3x²+3x²y²+7xy-6

    6) (x + 3y) and (x - 3y)

    x (x + 3y) - 3y (x + 3y)

    x²+3xy-3xy-9y²

    x²-9y² ...
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