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)

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 ...