armando used algebra tiles to represent the product 3x(2x - 1). which is true regarding armandos use of…

armando used algebra tiles to represent the product 3x(2x - 1). which is true regarding armandos use of algebra tiles? he used the algebra tiles correctly. he did not represent the two original factors correctly. the signs on some of the products are incorrect. some of the products do not show the correct powers of x.

armando used algebra tiles to represent the product 3x(2x - 1). which is true regarding armandos use of algebra tiles? he used the algebra tiles correctly. he did not represent the two original factors correctly. 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 expression

We expand $3x(2x - 1)$ using the distributive - property $a(b + c)=ab+ac$. Here, $a = 3x$, $b = 2x$, and $c=-1$. So, $3x(2x - 1)=3x\times2x+3x\times(-1)=6x^{2}-3x$.

Step2: Analyze the algebra - tiles

Looking at the algebra tiles, the product should result in 6 positive $x^{2}$ tiles and 3 negative $x$ tiles. The tiles shown seem to be correct in terms of representing the two original factors ($3x$ and $2x - 1$), the signs on the products are correct (positive for the product of positive terms and negative for the product of a positive and a negative term), and the powers of $x$ are also correct.

Answer:

He used the algebra tiles correctly.