Question

what expression does this set of algebra tiles represent?
combine like terms. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Count \( x^2 \) terms

There are 6 blue \( x^2 \) tiles, so the coefficient for \( x^2 \) is 6. So we have \( 6x^2 \).

Step2: Count \( -x \) terms

There are 6 (from the second row) + 4 (from the third row) = 10 red \( -x \) tiles. So we have \( -10x \).

Step3: Count constant terms

There is 1 yellow 1 tile. So we have \( + 1 \).

Step4: Combine like terms

Combine the terms we found: \( 6x^2 - 10x + 1 \).

Answer:

\( 6x^2 - 10x + 1 \)