Question

Clara simplifies (8b-4r)-(2b-r) and says the result is 6b-5r What error did Clara make?

A. Clara incorrectly combined the b coefficients. The correctly simplified expression is 10b-5r
B. Clara incorrectly combined the r coefficients. The correctly simplified expression is 6b-3r
C. Clara incorrectly combined the r coefficients. The correctly simplified expression is 6b-5r
D. Clara incorrectly combined the b coefficients. The correctly simplified expression is-10b-5r

pls help 7 minutes remaining..

Answer 1

B. Clara incorrectly combined the r coefficients. The correctly simplified expression is 6b-3r

Explanation:

Simplifying the expression by opening the brackets we get:

8b - 4r-2b+r

A negative coefficient multiplied by a negative coefficient results to a positive coefficient.

Combining like terms together:

8b-2b-4r+r

=6b-3r

Answer 2

The correct answer is A. She incorrectly combined the b coefficients. The only symbols that have an effect on a number is the symbol BEFORE the number. Thus, in 2b-r, they would separate into 2b and -r.

Using this knowledge, combine like terms the right way.

8b+2b=10b

-4r-r=-5r

The correct equation is 10b-5r

Hope this helps!