Question

These algebraic expressions are not equivalent. Explain why they are not equivalent

Answer 1

Sample Response: If you simplify the first expression, you will not get the second expression. In the first expression, the x2 terms have coefficients of 1 and -1 and, when combined, the result is 0. Also, the x terms have coefficients of 8 and -6 and, when combined, the result is 2. Finally, the constant from the first expression is not in the second expression.

Answer 2

Sample Answer:

Explanation:

The coefficients on the x2 terms cancel each other because 1 – 1 = 0.

The constant was not included.

The coefficients on the x terms were subtracted incorrectly; 8x – 6x = 2x (not negative).