adi used algebra tiles to represent the product (-2x - 2)(2x - 1). which is true regarding adis use of…

adi used algebra tiles to represent the product (-2x - 2)(2x - 1). which is true regarding adis use of algebra tiles? she used the algebra tiles correctly. she did not represent the two original factors correctly on the headers. the signs on some of the products are incorrect. some of the products do not show the correct powers of x.

adi used algebra tiles to represent the product (-2x - 2)(2x - 1). which is true regarding adis use of algebra tiles? she used the algebra tiles correctly. she did not represent the two original factors correctly on the headers. the signs on some of the products are incorrect. some of the products do not show the correct powers of x.

Answer

Explanation:

Step1: Expand the product

[ \begin{align*} (-2x - 2)(2x-1)&=-2x\times(2x - 1)-2\times(2x - 1)\ &=-4x^{2}+2x-4x + 2\ &=-4x^{2}-2x + 2 \end{align*} ]

Step2: Analyze the algebra - tiles

When using algebra tiles, the product of a negative (x) - term and a positive (x) - term should result in a negative (x^{2}) - tile, the product of a negative constant and a positive (x) - term should result in a negative (x) - tile, and the product of two negative constants should result in a positive constant tile. Looking at the tiles, the signs on some of the products are incorrect. For example, when multiplying the negative part of the first factor ((-2x-2)) with the positive part of the second factor ((2x - 1)), the signs of the resulting tiles in the grid should follow the rules of multiplication of signed numbers.

Answer:

The signs on some of the products are incorrect.