“Drag the tiles to each box to form correct pairs not all tiles will be used

the products of the given expressions are as follows:
1:
(xy + 9y + 2) and (xy - 3)
= x²y² - 3xy + 9xy² - 27y + 2xy - 6
combining the like terms:
= x²y² + 9xy² - 3xy + 2xy - 27y - 6
= x²y² + 9xy² - xy - 27y - 6
2:
(2xy + x + y) and (3xy² - y)
= 6x²y³ - 2xy² + 3x²y² - xy + 3xy³ - y²
= Tile 2
3:
(x - y) and (x + 3y)
= x² + 3xy - xy - 3y²
= x² + 2x - 3y²
4:
(xy + 3x + 2) and (xy - 9)
= x²y² - 9xy + 3x²y - 27x + 2xy - 18
combining the like terms:
= x²y² + 3x²y - 9xy + 2xy - 27x - 18
= x²y² + 3x²y - 7xy - 27x - 18
= Tile 1

5:
(x² + 3xy - 2) and (xy + 3)
= x³y + 3x² + 3x²y² + 9xy - 2xy - 6
= x³y + 3x² + 3x²y² + 7xy - 6
= Tile 3 ;

Answered by HuzaifaFaheem | 2025-07-08

To solve the tile pairing problem, we multiply the given polynomial expressions and combine like terms. Each tile consists of expressions that can simplify to a final form, which must be matched correctly. Careful multiplication and simplification are key to identifying the correct pairs from the provided tiles.
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Answered by HuzaifaFaheem | 2025-07-09