Analyzing an Error A student simplifies (6b + 4r) – (2b + r) and says that the result is 4b + 5r. Explain the error and describe the correct steps to simplify the expression.

4b +3r

The student did not subtract both terms in the second parentheses

Step-by-step explanation:

(6b + 4r) – (2b + r)

Distribute the minus sign to all terms in the second parentheses

6b + 4r – 2b - r

Combine like terms

6b -2b   +4r -r

4b +3r

The student did not subtract both terms in the second parentheses

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^