Question

below is the work bernard showed to simplify the difference of two polynomials. determine if he made an error and if so, identify between which two lines the error occurred. given: (7 - 2a² + 5a) - (6a - 8 + 10a²) step 1: 7 - 2a² + 5a - 6a + 8 + 10a² step 2: 7 + 8 - 2a² + 10a² + 5a - 6a step 3: 15 + 8a² - a a no error b between given and step 1 c between step 1 and step 2 d between step 2 and step 3

Explanation:

Step1: Distribute the negative sign

When we have $(7 - 2a^{2}+5a)-(6a - 8 + 10a^{2})$, distributing the negative sign gives $7 - 2a^{2}+5a-6a + 8-10a^{2}$, but Bernard wrote $7 - 2a^{2}+5a-6a + 8 + 10a^{2}$. So the error is in the sign - distribution of the second polynomial.

Step2: Analyze error location

The error occurred between the given expression and step 1.

Answer:

B. Between given and step 1