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 2 tiles of \(-x^2\), so the term is \(2\times(-x^2)= -2x^2\).

Step2: Count \(x\) terms

Green \(x\) tiles: 6 (top) + 3 (bottom) = 9. So the term is \(9x\).

Step3: Count \(-1\) terms

Red \(-1\) tiles: 3 rows of 3, so \(3\times3 = 9\). The term is \(9\times(-1)= -9\).

Step4: Combine like terms

Add the three terms: \(-2x^2 + 9x - 9\).

Answer:

\(-2x^2 + 9x - 9\)